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

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Bunuel
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Given this system of equations, what is the value of |p| + |q|? [#permalink] New post   05 Nov 2018, 22:04
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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
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E
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NandishSS
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Re: Given this system of equations, what is the value of |p| + |q|? [#permalink] New post   05 Nov 2018, 22:10
Bunuel wrote:
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


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
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Re: Given this system of equations, what is the value of |p| + |q|? [#permalink] New post   05 Nov 2018, 22:42
We solve the equations and we get p=6 & q=-4

So mod sum is 10

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Re: Given this system of equations, what is the value of |p| + |q|? [#permalink] New post   05 Nov 2018, 23:28
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Bunuel wrote:
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


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
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Re: Given this system of equations, what is the value of |p| + |q|? [#permalink] New post   08 Jul 2021, 10:45
NandishSS wrote:
Bunuel wrote:
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


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


How do we know that both will be positive?
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Re: Given this system of equations, what is the value of |p| + |q|? [#permalink] New post   24 Dec 2021, 09:27
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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

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Re: Given this system of equations, what is the value of |p| + |q|? [#permalink]
24 Dec 2021, 09:27
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