Answer:
x = 2
y = 0
Explanation:
The two equations are
5x + 2y = 10 [1]
3x + 2y = 6 [2]
Notice the y coefficients are the same in both equations
[1] - [2] will eliminate the y terms and let you solve for x
[1] - [2] :
5x + 2y - (3x + 2y) = 10 -6
==> 5x +2y -3x - 2y = 4
==> 2x + 0 = 4
==> 2x = 4
x = 4/2
x = 2
Plug this value of x into equation [1]:
5(2) + 2y = 10
10 + 2y = 10
Subtract 10 both sides
10 - 10 + 2y = 10 - 10
2y = 0
y = 0
We can check our work by substituting for x and y in equation [2] left side
3x + 2y = 3(2) + 2(0) = 6 - 0 = 6 which is consistent with the right side