Question 564110
Algebra book cost x
geometry book cost y

2x+3y=34
3y=-2x+34
y=(-2/3)x+34/3

3x+2y=36

substitute y in the equation

3x+2((-2/3)x+34/3)=36

3x-(4/3) x +68/3=36

multiply equation by 3

9x-4x+68=108
5x=40
x=8 , algebra book cost

plug  x in  equation 2x+3y=34 to get y=6