Question

How do you solve the following linear system `3x-2y=8, 4x-2y=9`?

Answer 1

x=1 and y=-5/2

Explanation:

3x-2y=8 →equation 1
4x-2y=9 →equation 2

Equation 1 - equation 2
3x-2y=8
- 4x-2y=9
﹏﹏﹏﹏﹏﹏﹏
-x = -1
x = 1

x=1 into equation 1 or you can also substitute to equation 2.

x=1 into equation 1

3(1)-2y=8
3-2y=8
-2y=8-3
-2y=5
-y=5/2
y=-5/2