What is x+y=7 and x-y=-3 using the elimination method

x = 2

y = 5

Explanation:

x + y = 7; x - y = - 3

Solve x+y=7 for x

x+y=7

x+y+-y=7+-y (Add - y to both sides)

x=-y+7

Step: Substitute-y+7 for x in x-y=-3:

x-y=-3

-y+7-y=-3

-2y+7=-3 (Simplify both sides of the equation)

-2y+7+-7=-3+-7 (Add - 7 to both sides)

-2y=-10

-2y/-2 = - 10/-2

(Divide both sides by - 2)

y=5

Step: Substitute 5 for y in x=-y+7:

x=-y+7

x=-5+7

x=2 (Simplify both sides of the equation)