3x-2y=14
5x+y=32
there are a couple of ways to solve this but I am going to eliminate one of the variables.
First, multiply the second equation by 2
2(5x+y=32)
10x+2y=64
now, we add the first equation with the second, which will eliminate the y value
3x-2y=14
10x+2y=64
13x=78
now we can solve for x
13x=78
x=6
now that we have the value for x, we can plug in 6 for the x value in either equation and solve for y
5x+y=32
5(6)+y=32
30+y=32
y=2
we can check to make sure our values are right by plugging them back into both equations to make sure we get the right answer
3(6)-2(2)=14
18-4=14
14=14
5(6)+2=32
30+2=32
32=32
hope this helped
