2x+5y=33 6x=y+19

Solve by substitution:

• From 6x = y + 19, we get y = 6x - 19.

• Substitute into 2x + 5y = 33: 2x + 5(6x - 19) = 33 2x + 30x - 95 = 33 32x = 128 x = 4

• Then y = 6x - 19 = 24 - 19 = 5.

Solution: x = 4, y = 5. Check: 2(4) + 5(5) = 8 + 25 = 33; 6(4) = 24 = 5 + 19.