Question

The solution of the pair of linear equations
$x+2y=5$ and $7x+3y=13$ is (2, 1).

• A. True
• B. False

Answer 1

The correct option is B

False

$x+2y=5$ ...(1)

$7x+3y=13$ ...(2)

Let's solve these equations using elimination method.
On multiplying the first equation by 7, we get

$7x+14y=35$ ...(3)

On subtracting (2) from (3), we have

$7x+14y=35$

$-7x-3y=-13$
_______________

$11y=22$

$\Rightarrow y=2$

On subsituting value of y in $x+2y=5$, we get

$x+2\left(2\right)=5$

$\Rightarrow x=1$

$\Rightarrow x=1$ and $y=2$

Hence, the solution of the given equations is (1, 2).