Question 146221
First, multiply the first equation by -2.

giving
-3x+4y=.5
3x+1.5y=6.375

Now we can add them.
5.5y=6.875
y=1.25


And x must be
1.5x-2(1.25)=-.25
1.5x=2.25
x=1.5

check:

1.5(1.5)-2(1.25)=-.25
3(1.5)+1.5(1.25)=6.375