X+2y=7

3x-2y=-3 solving systems by substitution

Move 2y to the right hand side of the equation by subtracting 2y from both sides.

x=-2y+7

3x-2y=-3

Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is - 2y+7.

x=-2y+7

3 (-2y+7) - 2y=-3

Simplify each term.

x=-2y+7

-6y+21-2y=-3

Add - 6y and - 2y to get - 8y.

x=-2y+7

-8y+21=-3

Move 21 to the right hand side of the equation.

x=-2y+7

-8y=-21-3

Subtract 3 from - 21 to get - 24.

x=-2y+7

-8y=-24

Divide each term in the equation by - 8.

x=-2y+7

y=3

Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is 3.

x=-2 (3) + 7

y=3

Multiply - 2 by 3 to get - 6.

x=-6+7

y = 3

Add - 6 and 7 to get 1.

x=1

y=3

(1,3)