Question

Compare and Contrast: Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that is true about both solutions.

Equation 1 Equation 2
|5x + 6| = 41 |2x + 13| = 28
Equation 1 has more solutions than equation 2.

Equation 1 and Equation 2 have the same number of solutions.

Equation 2 has more solutions than Equation 1.

The number of solutions cannot be determined.

@dinmosiaren @bibby @adrynicoleb @Evictu_FB @Rockiee @Mikhael

Answer 1

@KattGirl14 @april115 @Whiteboy1949

Answer 2

@messiahcollins

Answer 3

5x + 6 = 41

First, we'll subtract 6 from both sides:

5x + 6 - 6 = 41 - 6
5x = 35

Now divide both sides by 5

5x/5 = 35/5
x = 7

We can check our answer by plugging x = 7 back into the original equation:

5x + 6 = 41
5(7) + 6 = 41
35 + 6 = 41
41 = 41
5x+6 = 41
5x = 41-6
5x = 35
x = 35/5
x = 7

Answer 4

Simplifying
28 = -2x + 13

Reorder the terms:
28 = 13 + -2x

Solving
28 = 13 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
28 + 2x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
28 + 2x = 13 + 0
28 + 2x = 13

Add '-28' to each side of the equation.
28 + -28 + 2x = 13 + -28

Combine like terms: 28 + -28 = 0
0 + 2x = 13 + -28
2x = 13 + -28

Combine like terms: 13 + -28 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5