Question 26033
3x+4y=5
6x-4y=-14

multiply the top equation by -2

(-2)(3x+4y=5)
     6x-4y=-14  

the new system of equations will be:
-6x-8y=-10
+6x-4y=-14

add them together to get

-12y = -24
divide both sides by -12 to get y=2

substitute the value of y back into one of the original equations to find x

3x+4(2)=5
3x+8=5
3x=-3
x=-1

hope that was helpful!