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

Question

5p – 3q = 42

5p + 3q = 18

A. 2

B. 4

C. 6

D. 8

E. 10

NandishSS · Answer

Solving below equations

5p – 3q = 42

5p + 3q = 18

p=6 & q = -4

As we have mod both will be positive hence 6+4 = 10

Hence E

saurabh9gupta · Answer

We solve the equations and we get p=6 & q=-4

So mod sum is 10

Posted from my mobile device

adstudy · Answer

Equations -

5p – 3q = 42 ---- (1)
5p + 3q = 18 ---- (2)

Adding equations (1) and (2)

10p = 60
 p=6 ---- (3)

Subtracting equations (1) and (2)

-6q = 24
 q = -4 ---- (4)

we need to find,
|p| + |q| ---- (5)

From (3), (4), (5)

we get  |p| + |q| = 10

Hence E

Izziedodat · Answer

How do we know that both will be positive?

BrushMyQuant · Answer

Given that 5p – 3q = 42 and 5p + 3q = 18 and we need to find the value of |p| + |q|

Let's start by solving the two equations and getting the value of p and q

5p – 3q = 42 ...(1)
5p + 3q = 18 ...(2)

Adding (1) and (2) we get
5p – 3q + 5p + 3q = 42+18 
=> 10p = 60
=> p =  \frac{60}{10}  = 6

(2) - (1) we get
5p + 3q - (5p – 3q ) = 18 - 42
=> 5p + 3q - 5p + 3q = -24
=> 6q = -24
=> q =  \frac{-24}{6}  = -4

=> |p| + |q| = |6| + |-4| = 6 + 4 = 10

So, Answer will be E
Hope it helps!

Watch the following video to learn the Basics of Absolute Values

https://www.youtube.com/watch?v=huFiBk8PaGY

bumpbot · Answer

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

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

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