Question

Solve this system using elimination
3x+4y=5
2x+3y=4

Answer 1

Firstly, multiply both sides of the first equation by 2 and both sides of the second equation by 3:
`6x+8y=10\\6x+9y=12` .

Next, subtract the first equation from the second equation, and your first answer will be
`y=2` .

Now that we have the value of y, substitute it into either equation to solve for x:

`3x+4*2=5\\3x+8=5\\3x=-3\\x=-1\\\\2x+3*2=4\\ 2x+6=4\\2x=-2\\ x=-1`

In short, your answers are x = -1 and y = 2.