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Solve for X and Y: 2x + 3y + 1 = 0 `(7-4x)/3 = Y` - Mathematics

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Question

Solve for x and y: 

2x + 3y + 1 = 0

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

 

 

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) = -9
⇒y = -3
Hence, the solution is x = 4 and y = -3.

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Chapter 3: Linear Equations in two variables - Exercises 2

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RS Aggarwal Mathematics [English] Class 10
Chapter 3 Linear Equations in two variables
Exercises 2 | Q 12

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