Let the right = x
Let the wrong = y
100x - 40y = 180 (1)
x + y = 20 (2) Rearrange (2) to prepare for a substitution
x = 20 - y (3)
100(20 - y) - 40y = 180 Put (3) into (1) Remove the brackets.
2000 - 100y - 40y = 180 Collect like terms
2000 - 140y = 180 Subtract 2000 from both sides
-140y = 180 - 2000
-140y = -1820 Divide by - 140
y = -1820/-140
y = 13
Answer: He had 13 incorrect answers