Question

PLEASE HELP ON ALGEBRA 1 I DONT GET THIS STUFF /: Will fan and give medal! :D

Answer 1

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.

Answer 2

They have the same number of solutions. They are both linear, absolute value problems, so they each have 2 solution.

To solve you have to solve for 2 equations. The original equation, and then the negative of that equation. The reason for this is because if we absolute value the negative of something, it becomes positive, leading to 2 possible solutions.

For example:
if we have absolute value of x = 1
The solutions are 1 and -1.

Moving on.
Let's look at 1 problem at a time.
Set up the first problem:
5x + 6 = 41 => 5x = 35 => x = 7
-5x - 6 = 41 => -5x = 47 => x = -47/5

Do the same for the second problem:
2x + 13 = 28 => 2x = 15 => x = 15/2
-2x -13 = 28 => -2x = 41 => x = -41/2

Answer 3

@IAmSinged so it's A?

Answer 4

B. They have the same # of solutions.

Answer 5

Ohhh ok thanks so much for your help i really appreciate it (: