Зх - у = 10
2х - y= 7

Answers

Answer 1

Answer:

(3, -1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x - y = 10

2x - y =  7

Step 2: Rewrite Systems

3x - y = 10

Subtract 3x on both sides:                    -y = 10 - 3xDivide -1 on both sides:                         y = 3x - 10

Step 3: Redefine Systems

y = 3x - 10

2x - y = 7

Step 4: Solve for x

Substitution

Substitute in y:                    2x - (3x - 10) = 7Distribute -1:                        2x - 3x + 10 = 7Combine like terms:           -x + 10 = 7Isolate x term:                     -x = -3Isolate x:                              x = 3

Step 5: Solve for y

Define equation:                    3x - y = 10Substitute in x:                       3(3) - y = 10Multiply:                                  9 - y = 10Isolate y term:                         -y = 1Isolate y:                                 y = -1

Related Questions

The temperature in Tampa increased from 4 a.m. to 4 p.m. on one day in February the tables of values below represents temperatures as a function of time

Answers

Answer:

from 6:53 a.m. to 8:53 a.m.

Step-by-step explanation:

:)

A family on vacation traveled 180 miles in 3 hours. If their rate of speed was constant,
how many miles did they travel in one hour?
O 180 miles
O 540 miles
60 miles
54 miles

Answers

Answer:

Step-by-step explanation:

180/3=60

so 60 miles

Answer:

60 miles

Step-by-step explanation:

Since their speed is constant, you just do 180 miles divided by 3 hours to get 60 miles per hour.

Your boss sends you an email and explains that your fourth location is to Ellis Island to visit the Statue of Liberty. She emails you a scale drawing that one of the architectures in Spain created. On the scale drawing, a scale of 1/61 <—(a fraction) (inches to feet) was used, the height of the statue was 5 inches. How tall is the Statue of Liberty?

(Please explain thoroughly step by step on how you solved the problem.If you can,please provide an image on how you solved the problem.)

Answers

Answer:

305 feet

Step-by-step explanation:

We can name the actual height x so we get the equation [tex]\frac{1}{61}x = 5[/tex]. Multiply both sides by 61 to get [tex]x=305[/tex]. The answer would be feet because it wouldn't make sense if the statue of liberty was 305 inches

Maria and Jane set up a lemonade stand one summer to earn money for a trip to the beach. They noticed that the hotter the day, the more glasses of lemonade they sold. They mixed up the lemonade exactly the same way every day: the same amount of sugar, lemon juice, and water. They added ice to the glass when they poured the drink. They always used the same size glass. They decided to chart their sales in order to figure out how much lemonade to make each day, using the weather forecast as their guide. Identify the independent, dependent, and controlled variables in the girls' experimental data.

Answers

Answer:

When its hotter people loose water by sweating (de-hydrating) and they replenish their bodies with Lemonade. PLEASE MARK ME BRAINLIEST!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

I GIVEEEEEE BRAINLILSTER

Answers

D , he will travel 54 miles

Answer:

D 54 I did this

Step-by-step explanation:

Find the distance between the points (-12.3, 15.1) and (17.5, 2). Round your answer to the
nearest hundredth.

Answers

Answer:

32.55

Step-by-step explanation:

d = 32.552266

For:

(X1, Y1) = (-12.3, 15.1)

(X2, Y2) = (17.5, 2)

Distance Equation Solution:

d=(17.5−(−12.3))2+(2−15.1)2−−−−−−−−−−−−−−−−−−−−−−−−−√

d=(29.8)2+(−13.1)2−−−−−−−−−−−−−−−√

d=888.04+171.61−−−−−−−−−−−−−√

d=1–√059.65

d=32.552266

could be confusing.

Divide. Give the Divide. Give the quotient and remainder.
254 divided 8

Quotient:

Remainder:

Answers

Step-by-step explanation:

254 = 8 * 30 + 8 * 1 + 6

= 8(30 + 1) + 6

= 8 * 31 + 6.

Hence the quotient is 31 and the remainder is 6.

Answer:

254/8=31.75

Step-by-step explanation:

The remainder of 254 divided by 8 is 6

Determine whether each sequence is arithmetic, geometric, or neither. Then find a formula for the nTh term of the sequence 2/5,3/6,4/7,5/8

Answers

Step-by-step explanation:

3/6 - 2/5 = 0.1

4/7 - 3/6 = 0.071

5/8 - 4/7 = 0.053

Since there is no common difference d, the sequence is not arithmetic.

(3/6) / (2/5) = 1.25

(4/7) / (3/6) = 1.14

(5/8) / (4/7) = 1.09

Since there is no common ratio, the sequence is not geometric.

Hence the sequence is neither an AP or GP.

Formula for nth term: (n + 1)/(n + 4).

Answer:

Try!

Step-by-step explanation:

Solve the inequality for y.
y-5<-14

Answers

the answer is y=-9
negative 9 remember that

Move the constant to the right-hand side and change its sign and calculate
Y=-9 is the answer have a good day :)

Write -4.74 as a mixed number

Answers

Answer:

4.75 = 475/100 = 19/4 = 4 3/4

Approximate value(s):

4.75 =~ 4 (error = -15.789473%)

[tex] - 4.74[/tex]

[tex] = - 4 + 0.74[/tex]

[tex] = - 4 + \frac{74}{100} [/tex]

[tex] = - 4 + \frac{37}{50} [/tex]

[tex] - 4 \frac{37}{50} [/tex]

I need help. (5+5)/2

Answers

Answer:5

Step-by-step explanation:10/2=5

Answer: the answer is 5

Step-by-step explanation

On Saturday, Mrs. Colton buys 2
soda cans for $1.50. On Sunday.
she spends $2.52 on a 4-pack.
Which is a better deal?

Answers

Jerry bud the 4 pack is better

Given ΔMNO, find the measure of ∠MNO.
Triangle MNO with segment LM forming a straight angle with segment MO and segment OP forming a straight angle with segment MO, the measure of angle NOP is 104 degrees, and segment MN and NO are marked congruent.
28 degrees
38 degrees
52 degrees
76 degrees
I know the answer is 28 degrees , I just am not sure how to work out this problem .

Answers

Answer:10907

Step-by-step explanation 10907

Answer:

The answer is 28

Step-by-step explanation:

Hope this helps,

have a great day

HELP PLEAASE I AM GOING TO EXPLODE WITH SAD WILL GIVE BRAINLIEST

Answers

Answer:D

Step-by-step explanation:i don’t know I’m guessing

Four points are labeled on the number line.Which point represents the value |-1 1/2|?

Answers

Answer: -1

Step-by-step explanation:

i really don't know but i was taking a test and i guessed it and it was right

Answer:

Point Q   -0.5

Step-by-step explanation:

Negative 1/2 is equal to -0.5

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm

Answers

Answer:

8 cm and 9 cm

Step-by-step explanation:

This is the answer because:

1) The other two sides have to equal somethinng that is bigger than 13.

2) 5 cm + 8 cm = 13 cm, therefore, 5 cm and 8 cm is not the correct answer.

3) 6 cm + 7 cm = 13 cm, therefore, 6 cm and 7 cm is not the correct answer.

4) 7 cm + 2 cm = 9 cm, therefore, 7 cm and 2 cm is not the correct answer.

5) Finally, 8 cm + 9 cm = 17 cm, therefore, it is the correct answer since it has a bigger value than 13.

Hope this helps! :D

Answer:

8 and 9

Step-by-step explanation:

because

Javier is considering two options for college.
Option A: Complete the first two years of schooling at a community college
and then transfer to a university.

Option B: Complete all four years of schooling at the university.
Community College Financial Analysis
Costs per Year
Financial Aid Package per Year
Tuition & Fees
Scholarships & Grants
$3,000
$1,000
Room & Board

$1,000


University Financial Analysis
Costs per Year
Financial Aid Package per Year
Tuition & Fees
Scholarships & Grants
$10,000
$15,000
Room & Board
Work-Study
$11,500
$4,000

Which statement about the cost of the options is true?
Option B will save him $1,000.
Option B will save him $2,000.
Option A will save him $14,000.
Option A will save him $17,500.

Answers

Answer:

A

Step-by-step explanation:

I got it right in Edginuity.

Answer:

A

Step-by-step explanation:

In the expression -3g + 12, how many terms are in the expression? *
1
2
3
4
Which expression has three terms? *
5x + kr
3ab
6 + x - 2y
4p + 2

Answers

Answer:

There are 1 terms.

5x+kr has 3 terms

Step-by-step explanation:

-3g has 1 term. 12 has none. so it is 1

5x has 1 term and kr has 2 terms and 2+1 is 3 terms.

A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilograms). In this study, the explanatory variable is the
A. amount of eroded soil.
B. rate of water flow.
C. depth of the soil bed.
D. size of the soil bed.
E. None of the above.

Answers

Answer:

B. rate of water flow.

Step-by-step explanation:

Given that in a research study the explanatory variable is a form of a variable that is independent and it is used by the researcher to make predictions or analyze variations in other variables known as response variables.

Hence, in this case, the Explanatory variable is the "rate of water flow" because it is the variable researcher wishes to utilize in predicting the amount of soil washed away.

Simplify to create an equivalent expression6(7-3y)+6(y+1)

Answers

Answer:

48-12y

Step-by-step explanation:

6(7-3y) + 6(y+1)

distribute the 6 on both parentheses

42-18y+6y+6

combine like terms

42-12y+6

combine like terms again

48-12y

Two cars start from the same point and move in a straight line, one east at a speed of 60 km per hour and the other west at a speed of 80 km per hour. After what time will they live at a distance of 770 km?

Answers

Answer:

5.5 hours

Step-by-step explanation:

Given that :

Speed of A = 60 kmphr

Speed of B = 80 kmphr

After what time will distance = 770 km

Speed * Time = Distance

Let time = x

Distance A + Distance B = 770

(60 * x) + (80 * x) = 770

60x + 80x = 770

140x = 770

x = 770 / 140

x = 5.5 hours

the standard ratio of a photo's width to it's length is 2/3. what is the length of a photo that has a width of 14 inches?

A. 9.3
B. 17
C. 20
D.21​

Answers

l: w

Equation

2/3 = 14/ x

Cross multiply

2xX = 14x3

2x = 42

Eliminate

2x/2 = 42/2

X = 21

Answer:

The answer is D.21.

Step-by-step explanation:

You have to divide 14 by 2/3 and you get 21.

PLZ mark me Brainliest!

Maya's penny bank is 3/4 full. After she removes 280 pennies, it is 1/2 full. How many pennies can Maya's bank hold?

Answers

Answer:

1120

Step-by-step explanation:

Determine the x-intercept of the line whose equation is given: Y = 4x + 2

a. (0, 2)
b. (-2, 0)
c. (0, - 1/2
d. (- 1/2, 0)​

Answers

Answer:

d

Step-by-step explanation:

i)1-2(2x+1)=1-(x-1)
ii)3.6x-6.1=5.9_2.4x
question from equation and inequality​

Answers

Answer:

1)Solving the expression [tex]1-2(2x+1)=1-(x-1)[/tex] we get [tex]\mathbf{x=-\frac{1}{3}}[/tex]

2) solving the equation [tex]3.6x-6.1=5.9-2.4x[/tex] we get [tex]\mathbf{x=2}[/tex]

Step-by-step explanation:

We need to solve the expressions:

1) [tex]1-2(2x+1)=1-(x-1)\\[/tex]

Solving

[tex]1-2(2x+1)=1-(x-1)[/tex]

First solving the brackets

[tex]1-4x-2=1-x+1[/tex]

Simplifying

[tex]-1-4x=-x[/tex]

Adding 4x on both sides

[tex]-1-4x+4x=-x+4x\\-1=3x[/tex]

Switching the sides

[tex]3x=-1[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=-\frac{1}{3}\\x= -\frac{1}{3}[/tex]

So, Solving the expression [tex]1-2(2x+1)=1-(x-1)[/tex] we get [tex]\mathbf{x=-\frac{1}{3}}[/tex]

2) [tex]3.6x-6.1=5.9-2.4x[/tex]

Solving:

[tex]3.6x-6.1=5.9-2.4x[/tex]

Adding 6.1 on both sides

[tex]3.6x-6.1+6.1=5.9-2.4x+6.1\\3.6x=12-2.4x[/tex]

Adding 2.4x on both sides

[tex]3.6x+2.4x=12-2.4x+2.4x\\6x=12\\[/tex]

Divide both sides by 6

[tex]\frac{6x}{6}=\frac{12}{6}\\x=2[/tex]

So, solving the equation [tex]3.6x-6.1=5.9-2.4x[/tex] we get [tex]\mathbf{x=2}[/tex]

Identify whether each phrase is an expression, equation, or inequality​

Answers

Answer:

Top stays the same

Middle and bottom switch

Step-by-step explanation:

Of the following sets, which represents a function?

Situation A = {student's name, all the colors that the student likes}

Situation B = {student's name, the student's favorite math teacher}

a. Only A

b. Only B

c. Both A and B

d. Neither A nor B

Answers

Answer:

Situation B is a function.

Step-by-step explanation:

We know that,

A function is a relation in which every element in the domain i mapped to a unique element in the co-domain.

That is, every element in the domain must have a unique image.

So, we see that,

Situation A = {student's name, all the colors that the student likes}

Here, the students can have more than one color which they like.

Thus, this relation is not a function.

Situation B = {student's name, the student's favorite math teacher}

Here, the students can have only one favorite math teacher.

So, this relation is a function.

Answer:

D

Step-by-step explanation:

The probability of selecting 3 female employees and 7 male employees to win a promotional trip a company with 10 female and 50 male employees would best be modeled with the _______.

Answers

Answer:

The best model is hypergeometric distribution.

Step-by-step explanation:

The probability would be best modeled with hypergeometric distribution.

Hypergeometric distribution is a discrete probability distribution that describes the probability of successes in draws, without replacement, which is often employed in random sampling for statistical quality control.

The hypergeometric distribution differs from the binomial distribution in the lack of replacements.

Thus, the best model is hypergeometric distribution.

what is the diameter of a circle of area 3850 m square​

Answers

Answer:

70.01

steps by-step explanation:

What is the awnser please!! -5r + 6 < -5(r + 2)

Answers

Maybe the answer is “no solution” or “false”? If you try solving it, you end up with 6<-10 which is false for any value of x so yeah! Hope this helps! :)
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