Answer:
x=4, y=1
Explanation:
First label the equations.
3x -2y= 10 -----(1)
2x +5y= 13 -----(2)
From (1): 3x= 2y +10
x= 2/3y +10/3 -----(3) (÷3 on both sides)
subst. (3) into (2):
2(2/3y +10/3) +5y= 13
4/3y +20/3 +5y= 13 (expand)
19/3y= 13 -20/3 (move all y terms to 1 side)
19/3y= 19/3 (simplify)
y= 1
subst. into (3):
x= (2/3)(1) +10/3
x= 4