Please find the X and Y plot points!! (I’ll give brainliest: x+2y=10 -x+y=2

Mathematics

2 answers:

vova2212 [387]2 years ago

8 0

Step-by-step explanation:

x+2y = 10 ...1

-x+y = 2 ...2

...1 + ...2

x+2y+(-x+y) = 10 + 2

3y = 12

y = 12/3

= 4

Replace y = 4 in ...1

x + 2(4) = 10

x + 8 = 10

x = 10 - 8

= 2

(x,y) = (2,4)

ExtremeBDS [4]2 years ago

3 0

Answer:

(2, 4 )

Step-by-step explanation:

Given the 2 equations

x + 2y = 10 → (1)

- x + y = 2 → (2)

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

x = 10 - 2y → (3)

Substitute x = 10 - 2y into (2)

- (10 - 2y) + y = 2

- 10 + 2y + y = 2

- 10 + 3y = 2 ( add 10 to both sides )

3y = 12 ( divide both sides by 3 )

y = 4

Substitute y = 4 into (3) for corresponding value of x

x = 10 - 2(4) = 10 - 8 = 2

solution is (2, 4 )

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