Use elimination to find the value of x in the solution for the system of equations. 2x+2y=10,2x-3y=5

Elimination

2x+2y=10

2x-3y=5

multiply first equatn by - 1

-2x-2y=-10

add to second equation

2x-3y=5

-2x-2y=-10 +

0x-5y=-5

-5y=-5

divide both sides by 5

-y=-1

muitply b-1

y=1

subsitue

2x+2y=10

2x+2 (1) = 10

2x+2=10

subtract 2

2x=8

divide 2

x=4

x=4

y=1

solution in (x, y) form is

(4,1)