Sarah and Jose were trying to solve the problem. Which one was INCORRECT and why? The image shows 2 parallel lines and an intersecting lines which create two angles (5x+3) and (9x-33).

Jose's Answer:
5x+3+9x-22=180
14x-30=180
14x=210
x=15

Sarah's answer:
5x+3=9x-33
3=4x-33
36=4x
9=x

1 answer

Sarah's answer is incorrect.

In her equation, she mistakenly subtracted 33 from the left side of the equation instead of adding it. This error results in an incorrect value for x. The correct equation should be:

5x + 3 = 9x - 33

First, let's subtract 5x from both sides to isolate the variables:

3 = 4x - 33

Next, let's add 33 to both sides to isolate the variable term:

36 = 4x

Finally, divide both sides by 4 to solve for x:

x = 9