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Solve for X and Y: X + Y = 3, 4x – 3y = 26 - Mathematics

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Question

Solve for x and y:
x + y = 3, 4x – 3y = 26

Solution

The given system of equation is:
x + y = 3…….(i)
4x – 3y = 26 ……(ii)
On multiplying (i) by 3, we get:

3x + 3y = 9 ….(iii)
On adding (ii) and (iii), we get:
7x = 35
⇒ x = 5
On substituting the value of x = 5 in (i), we get:
5 + y = 3
⇒ y = (3 – 5) = -2
Hence, the solution is x = 5 and y = -2

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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 1

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