Firstly, multiply both sides of the first equation by 2 and both sides of the second equation by 3: [tex] 6x+8y=10\\6x+9y=12 [/tex] .
Next, subtract the first equation from the second equation, and your first answer will be [tex] y=2 [/tex] .
Now that we have the value of y, substitute it into either equation to solve for x:
[tex] 3x+4*2=5\\3x+8=5\\3x=-3\\x=-1\\\\2x+3*2=4\\ 2x+6=4\\2x=-2\\ x=-1 [/tex]
In short, your answers are x = -1 and y = 2.
