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

@mathstudent55

Answer 2

You need to start by solving this equation:

\( 6 - x = 5x + 30 \)

What is the first step?

Answer 3

Don't know.

Answer 4

@mathstudent55

Answer 5

You need to bring all x's to the left and all numbers to the right.
First, subtract 5x from both sides.

Answer 6

ok then ?

Answer 7

Now subtract 6 from both sides.

Answer 8

I GOT^

Answer 9

\(6 - x = 5x + 30\)
\( 6 - 6x = 30 \)
\(-6x = 24 \)
\(x = -4 \)
You are correct.

Answer 10

what to do then ?

Answer 11

Now for equation 2, you need to solve:
\(4x - 8 = 3x + 2\)
Subtract 3x from both sides.
Add 8 to both sides.