Solve the following simultaneous linear equations using the elimination method.

3x + 2y = 29
5x - y = 18

x = 7; y = 5

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x = 5; y = 7

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x = 8; y = 10

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x = 10; y = 8

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Solution

The correct option is B x = 5; y = 7
3x + 2y = 29 … (1)
5x - y = 18 … (2)

Multiply equation (2) by 2
10x - 2y = 36 … (3)

Add equations (1) and (3)
3x + 2y = 29
10x - 2y = 36
_____________
13x = 65
x = 5

Put value of x in equation (1)
$\Rightarrow$ 3(5) + 2y = 29
$\Rightarrow$ 15 + 2y = 29
$\Rightarrow$ 2y = 14
$\Rightarrow$ y = 7

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