SOLUTION: Solve for x and y: 3x+4y=9, 2x+3y=8

3x + 4y = 9,    (1)
2x + 3y = 8.    (2)

Multiply (1) by 2 (boht sides). Multiply (2) by 3 (both sides). You will get

6x + 8y = 18,   (1')
6x + 9y = 24.   (2')

Now distract (1') from (2'). You will get a single equation for the unknown y:

y = 24 - 18,
y = 6.

So, you got the solution for y.

Next step find x from either (1) or (2).