I used the elimination method:
Multiply 9x+4y=7 by 2: 18x+8y=14
Multiply 6x-4y=2 by 3: 18x-12y=6
{18x+8y=14}
{18x-12y= 6}
18x-12y=6
-
18x+8y=14
_____________
-20y= -8
{18x + 8y = 14}
{-20y= -8}
Isolate y
y= 2/5 For 18x+8y=14 plug in y=2/5
Sovle 18x+8(2/5)=14 for x: x=3/5
THE SOLUTIONS FOR THE SYSTEMS OF EQUATIONS ARE:
y= 2/5, x=3/5