Solve following system of equations by elimination method. $3 x + y = 8, 5 x + y = 10$

(1, 5)

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(2, 5)

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(1, 6)

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None of these

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Solution

The correct option is A $(1, 5)$
Given equations are
$3 x + y = 8$ .....(i)

$5 x + y = 10$ ......(ii)

Subtract equation (i) from (ii), we get

$2 x = 2$

$∴ x = 1$

Put value of $x$ in equation (i)

$(3 \times 1) + y = 8$

$\Rightarrow y = 5$

$∴ x = 1, y = 5$

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Similar questions

Solve the following pair of equations by elimination method.

Solve the following system of equations using elimination method:
$2 x + 7 y = 10$
$3 x + y = 6$

\frac{3 x}{2} - \frac{5 y}{3} = - 2, \frac{x}{3} + \frac{y}{2} = \frac{13}{6}

3 x - y = 5, 5 x - 2 y = 4

x - y = 7

3 x + y = 10

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