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Given this system of equations, what is the value of \(|p| + |q|?\)

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by M7MBA » Wed Sep 09, 2020 6:51 am

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Answers

A

B

C

D

E

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\(5p - 3q = 42,\)
\(5p + 3q = 18\)

Given this system of equations, what is the value of \(|p| + |q|?\)

A. 2
B. 4
C. 6
D. 8
E. 10

Answer: E

Source: Magoosh
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Re: Given this system of equations, what is the value of \(|p| + |q|?\)

by Nirav Umaretiya » Sat Sep 12, 2020 10:29 pm
For this PS we will be applying substitution method.

5p - 3q = 42
So, 5p = 42 + 3q

Substituting the value of 5P in the 2nd equation

5p + 3q = 18
So, 42 + 3q + 3q = 18
So, q = -4

Substituting the value of q in the 2nd equation
5p + 3q = 18
So, 5p + 3(-4) = 18
So, p=6

now,
|p| + |q|
= |6| + |-4|
= 6 + 4
=10

The correct answer is E
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