Question

Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution.
Equation #1 Equation #2
6 - x = 5x + 30 4x - 8 = 3x + 2

The solution to equation #1 is smaller than the solution to equation #2.

The solution to equation #1 is larger than the solution to equation #2.

The solution to equation #1 is the same as the solution to equation #2.

None of the statements above describe solutions to equations shown.

Answer 1

6 - x = 5x + 30 -- subtract 5x from both sides
6 - x - 5x = 30 -- subtract 6 from both sides
-x - 5x = 30 - 6 -- combine like terms
-6x = 24
x = 24/-6
x = - 4

4x - 8 = 3x + 2 -- subtract 3x from both sides
4x - 3x - 8 = 2 -- add 8 to both sides
4x - 3x = 8 + 2 -- combine like terms
x = 10

Eq 1 is smaller then eq 2