3x-2y=5
3x+y=8
Rewrite the second equation as y = -3x +8
Substitute that into the first equation for y:
3x-2(-3x+8) = 5
Use distributive property:
3x +6x -16 = 5
Combine like terms:
9x - 16 = 5
Add 16 to both sides:
9x = 21
Divide both sides by 9:
x = 21/9
x = 7/3
Replace X in the first equation and solve for y:
3(7/3) -2y = 5
7 - 2y = 5
Subtract 7 from both sides:
-2y = -2
Divide both sides by -2:
y = 1
The solution is (7/3, 1)