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Solve for x and y: 2x + 3y + 1 = 0, (7 – 4x)/3 = y

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Question

Solve for x and y: 

`2x + 3y + 1 = 0, (7 - 4x)/3 = y`

Sum
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Solution

The given equations are:

`(7 - 4x)/3 = y`

⇒ 4x + 3y = 7   ...(i)

And 2x + 3y + 1 = 0

⇒ 2x + 3y = –1   ...(ii)

On subtracting (ii) from (i), we get:

2x = 8

⇒ x = 4

On substituting x = 4 in (i), we get:

16x + 3y = 7

⇒ 3y = (7 – 16)

⇒ 3y = –9

⇒ y = –3

Hence, the solution is x = 4 and y = –3.

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Chapter 3: Linear Equations in Two Variables - EXERCISE 3B [Page 110]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 3 Linear Equations in Two Variables
EXERCISE 3B | Q 12. | Page 110
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