Question

Solve the following pair of an equation by elimination the coefficient method:
$x+2y=11$
$2x-y=2$

Answer 1

Consider given the equations,

$x+2y=11$ ……..(1)

$2x-y=2$ ………(2)

Now, multiply by 2 in equation 2^nd,

$4x-2y=4....\left(3\right)$

$x+2y=11.......\left(1\right)$

$5x=15$ (add equation 1st and 3rd)

$x=3$

Put, the value of x in equation 1^st,

$3+2\times y=11$

$2y=8$

$y=4$

Hence, this is the answer.