Solve for x.
- 3x + 8y = 5
6x - 2y =10

Let us solve this system by substitution.

-3x + 8y = 5
6x - 2y = 10

According to equation 2,

6x - 2y = 10

6x = 10 + 2y

thus, x = 10 + 2y / 6

substituting the value of x in equation 1,

-3 ( 10 + 2y / 6) + 8y = 5

-30 - 6y + 8y = 5 x 6 = 30

-30 + 2y = 30

2y = 60

Thus, y = 30.

Substituting the value of y in equation 2,

6x - 2y = 10

6x - 2(30) = 10

6x - 60 = 10

6x = 70.

Thus, x = 70/6.

Thus, x = 70 / 6     ( and y = 30)