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.

Eq 1: 3x - 18 = 2x -20
Eq 2: 10 -2x = 4x + 34

The solution to equation #1 is larger than the solution to equation #2.
None of the statements above describe solutions to equations shown.
The solution to equation #1 is smaller than the solution to equation #2.
The solution to equation #1 is the opposite of the solution to equation #2.

Answer 1

Do you know how to solve linear equations?

Answer 2

not really

Answer 3

okay, the goal is to get 'x' by itself, meaning get it on one side of the equation. let's start with the first one:

3x - 18 = 2x -20

Let's get the 'x's' all one one side. how would we do that?

Answer 4

subtract 2x to both sides

Answer 5

perfect, so what does the equation look like after you do that?

Answer 6

x - 18 = -20

Answer 7

great. almost there. what do we do with the -18?

Answer 8

add on both sides

Answer 9

yup, so you'd end up with x = -2

can you do the second equation now?

Answer 10

yea
thanks

Answer 11

okay, tell me what you get