Question

2x-y=5;3x+2y=11 find the solution​

Answer 1

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Answer 2

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• 2x - y = 5
• 3x + 2y = 11

find the solution

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Find the value of x and y

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Solve this question by elimination method

• 2x - y = 5 ----(i)
• 3x + 2y = 11 ---(ii)

Multiply (i) by 2 and multiply (ii) by 1

• 4x - 2y = 10 ---(iii)
• 3x + 2y = 11 ---(iv)

Adding (iii) and (iv) equation

$\implies\sf (4x - 2y) + (3x + 2y) = 10 + 11$

$\implies\sf 4x - 2y+3x + 2y= 21$

$\implies\sf 7x= 21$

$\implies\sf x=\Large\cancel\frac{21}{7}=3$

Now , substitute the value of x in equation (i)

$\implies\sf 2x-y=5$

$\implies\sf 2\times{3}-y=5$

$\implies\sf 6-y=5$

$\implies\sf y=6-5=1$

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Putting the value of x and y in the both equations

2x - y = 5

LHS

2x - y

2 × 3 - 1 = 5 = RHS verified

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3x + 2y = 11

LHS

3x + 2y

3 × 3 + 2 × 1 = 11 = RHS verified

Hence , both equations are verified