Solve the system of equations using elimination
2x + y = 5
-1x + y = 2

Answers

Answer 1

Answer:

(1, 3 )

Step-by-step explanation:

Given the 2 equations

2x + y = 5 → (1)

- x + y = 2 → (2)

Rearrange (1) expressing y in terms of x by subtracting 2x fro both sides

y = 5 - 2x → (3)

Substitute y = 5 - 2x into (2)

- x + 5 - 2x = 2

- 3x + 5 = 2 ( subtract 5 from both sides )

- 3x = - 3 ( divide both sides by - 3 )

x = 1

Substitute x = 1 into (3) for corresponding value of y

y = 5 - 2(1) = 5 - 2 = 3

solution is (1, 3 )


Related Questions

QUESTION 2
If you do the VERTICAL LINE TEST on a graph, and the vertical line hits the graph in two places at the same time, then it passes the test and it IS a function
Ο True
O False

Answers

Answer:

false

Step-by-step explanation:

the vertical line test must only pass through one point for the graph to be a function.

Solve the equation for x. 5(2x − 8) = 90 A) 5 B) 10 C) 13 D) 15

Answers

Answer:

c=13

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

divide both sides by 5

then move the constant to the right and change signs

2x=18+8

add numbers

divide both sides by 2

Mrs. Andrews has 10 pink and 7 orange markers. Which ratio compares the number of pink markers to the number of orange markers?

Answers

Answer:

7/10

Step-by-step explanation:

The ratio 10:7 represents the number of pink markers to the number of orange markers.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

Total number of pink Mrs. Andrews has = 10

Total number of orange Mrs. Andrews has = 7

The ratio of number of pink markers to the number of orange markers:

= 10:7

Thus, the ratio 10:7 represents the number of pink markers to the number of orange markers.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ2

Find the value of the expression 9 4/9 ÷ q for q = 2 2/9 Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

Explain everything. Imagine that the person who was asking, knows nothing at all so you need to start from the very beginning. i dont know

Step-by-step explanation:

A library has 8,629 children's books. The librariary is ordering new shelves that each
hold 1,000 books. He rounded the number of books to the nearest thousand to find how
many shelves to order. Which is the founded number the librarian used?

Answers

The founded number should be 9,000

I need these all answerd really fast plz

Answers

6 is 10 and 10 is 12

You make a salary of $500 a week and earn
5% commission on all products you sell. If
your total sales were $3000 for this week,
what is your total pay for the week?

Answers

$650. you get the 500 no matter what so x+500 we have to find 5% of 3000. $150 so, 500+150 is $650

Please help due soon will give brainliest

Answers

Answer:

D

Step-by-step explanation:

(6,4) does satisfy both equations

Can someone help me please

Answers

Answer:

3^12

Step-by-step explanation:

when a power is to the power, you multiply the exponents

it’s three to the eighth power i think!

is 7.5 a even or odd number?

Answers

Neither! but if you round it , it will equal 8 and then it will be even

Answer:

Only Integers are considered even or odd. So this is not possible to solve. But if you HAD to choose, I believe that it will be even because you round up then its 8 and there you have a even number

help plase please pleaseeeee

Answers

Answer:

h=9.0991 ≈ 9.1

Step-by-step explanation:

V=π r²h

1400=3.14 (7)²h

1400=153.86 h

h=9.0991 ≈ 9.1

PLEASE HELP WILL BE MARK BRAINLIEST!

Answers

Answer:

c:7

Step-by-step explanation:

Solve Expression

12(3+5x)+1/4(16x-8)

Answers

Answer:

56x + 34

Step-by-step explanation:

12(3 + 5x) + 1/4(16x - 8)

First, use the distributive property. You will get:

(12)(3) + (12)(5x) + (1/4)(16x) - (1/4)(8)

Next, multiply the numbers. You will then have:

36 + 60x + 4x - 2

Now, rearrange the numbers. The variables go in the front. This is what it should look like:

60x + 4x + 36 - 2

Add 60x and 4x, then subtract 36 and 2. This is your answer:

56x + 34

Y+2x=7 and x=3+y
Solve each system of equations using substitution

Answers

Answer:

y+2x=7 (1)

x=3+y (2)

Replace x = 3+y (2) into (1) => y+2(3+y) = 7

=> y = 1/3 and x = 3+1/3 =10/3

Step-by-step explanation:

david earns $1.50 per hour more than peter. together, they earn $940 if they both work 40 hours in a week. how much money per hour do david and peter earn?

Answers

Answer:

469.25

Step-by-step explanation:

peter=x

david=x+1.50

x+(x+1.50)=940

x=940-x-1.50

2x=940-1.50

2x=938.5

x=938.5/2

x=469.25

y - 7 = 21 Your answer should be the value for the variable y.

Answers

Answer:

28 would be the answer

Step-by-step explanation:

because 21+7= 28

questions 27 and 28 please ​

Answers

Answer:87

Step-by-step explanation:

CUZ IT

What is the slope of the line shown below?

Answers

Answer:

B. 4

Step-by-step explanation:

Slope = (-2-6)/1-3) = = - 8/ - 2 = 4

Answer:

C.  4

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

slope = (-2 - 6)/(1 - 3)

slope = -8/(-2

slope = 4

7th grade slow math help please !

Answers

Answer:

1/3

Step-by-step explanation:

= y2-y1/x2-x1

3-2/1+2

1/3

Answer:

slope = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1,3) and (x₂, y₂ ) = (4, 4) ← 2 points on the line

m = [tex]\frac{4-3}{4-1}[/tex] = [tex]\frac{1}{3}[/tex]

if jordan runs 16 miles and Jake ran 18 times as many how many miles did jake ran​

Answers

Answer:

288 miles

Step-by-step explanation:

18 times 16

288 miles




Yghhhhhhhhhhhh

help help i need to get good grades answer correctly please

Answers

Answer:

the tringale has 3 lines of symmetry

Calculate and express your answer in Decimal from 1/2×17

Answers

Answer:

8.5

Step-by-step explanation:

8.5

Because when you multiply it would be 17/2. 8 times 2=16 that leaves .5

pleaseeeee helppppppppp mee??

Answers

Domain- [-6, infinite)
Range: [0, Infinite)

This is because you get the x from the square root (-6) and the y from the invisible 0. Because it doesn’t have a negative x, it goes up.

You are buying ribbon to make costumes for a school play. Organza ribbon costs $.07 per yard. Satin ribbon costs $.04 per yard. Write an equation to model the possible combinations of yards of organza ribbon and yards of satin ribbon you can buy for $5. List several possible combinations.

Answers

Answer:

Let's define the variables:

x = yards of Organza ribbon that you buy.

y = yards of Satin ribbon that you buy.

We know that the price per yard of Organza ribbon is $0.07, this means tat if you buy x yards, the cost will be:

C = x*$0.07

And the cost of the Satin ribbon is $0.04, so if you buy y yards of that ribbon, the cost will be:

C = y*$0.04

Adding that together, the total cost is:

C = x*$0.07 + y*$0.04

Now we know that you pay $5, this means that the total cost is exactly $5, then we have the equation:

$5 = x*$0.07 + y*$0.04

Now we can isolate the variable y to get:

y = ($5/$0.04) - x*($0.07/$0.04)

y = 125 - x*1.75

Now we can just input different values of x to find the correspondent value of y.

This means that:

if x = 0 (0 yards of the Organza ribbon)

then:

y = 125 - 0*1.75 = 0

This combination is:

0 yards of organza, and 125 yards of satin.

Now, if x = 20, then:

y = 125 - 20*1.75  = 90

This combination is:

20 yards of organza, and 90 yards of satin.

if x = 40, then:

y = 125 - 40*1.75 = 55

This combination is:

40 yards of organza, and 55 yards of satin.

The 3 combinations that we found cost exactly $5.

please HELP me!
What is the solution to the system of equations?

Answers

Answer: (9,7)

Step-by-step explanation:

HELP PLS! IS THIS RIGHT? ONLY ANSWER IF YOU KNOW! THANKS!

Answers

Answer:

YES its 8

Step-by-step explanation:

Answer:
Yes it is right the answer is 8

Is 4/6 larger than 5/3

Answers

Answer:

no 5/3 is larger

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

5/3 is a improper fraction, therefore it is bigger.

I need help on this problem!

Answers

Answer: its the first one and the one before the last!

Step-by-step explanation: Hope this helps!!!

Answer:

I think the second one

Can someone please help me

Answers

symbolab has a calculator that solves problems like that and works it out for you, to help understand it better :)

PLZ HELP!!! Thank you!!

Answers

Answer:

3/4

Step-by-step explanation:

you would get 6/8 but need to simplfiy to 3/4 since they both can divide by 2

Answer:

slope = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, - 2) and (x₂, y₂ ) = (4, 4) ← 2 points on the line

m = [tex]\frac{4-(-2)}{4-(-4)}[/tex] = [tex]\frac{4+2}{4+4}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

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