Since both equations equal y they need to equal each other.
2x - 5 = -3x + 10
Add 3x to both sides:
5x -5 = 10
Add 5 to both sides
5x = 15
Divide both sides by 5
X = 3
Now solve for y by replacing x with 3:
Y = 2(3)-5 = 6-5 = 1
Y = -3(3)+ 10 = -9+ 10 = 1
Check: replace y with 1 and solve for x:
1 = 2x -5
Add 5 to both sides
6 = 2x
Divide both sides by 2
X = 3 ( True)
