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 = 2x + 18 5x - 10 = 4x + 3 a. The solution to equation #1 is smaller than the solution to equation #2. b. The solution to equation #1 is larger than the solution to equation #2. c. The solution to equation #1 is the same as the solution to equation #2. d. None of the statements above describe solutions to equations shown.

Answer 1

Equation #1:
$6-x=2x+18 \\ -x-2x=18-6 \\ -3x=12 \\ x=\frac{12}{-3} \\ x=-4$

Equation #2:
$5x-10=4x+3 \\ 5x-4x=3+10 \\ x=13$

-4 is smaller than 13, so the solution to equation #1 is smaller than the solution to equation #2.
The answer is a.