Question

Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution.

Equation #1 3x - 18 = 2x - 20
Equation #2 10 - 2x = 4x + 34




- 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 opposite of the solution to equation #2.
- None of the statements above describe solutions to equations shown.

Answer 1

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

Answer 2

solve them both to see
\[3x-18=2x-20\]
\[3x-2x=-20+18\]
\[x=-2\] is the first one
second one is
\[10-2x=4x+34\]
\[10-34=4x+2x\]
\[-24=6x\]
\[x=-4\] now compare