Question

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

Answer 1

: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)

Explanation:

Answer 2

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)