Question

Evaluate:

7x+2y=47
5x-4y=1

Answer 1

Given $7x+2y=47⟹14x+4y=94\cdots \left(1\right)$

$5x-4y=1\cdots \left(2\right)$

$⟹\left(1\right)+\left(2\right)⟹19x=95⟹x=5$

Substitute $x=5$ in $\left(2\right)$

$⟹5\left(5\right)-4y=1⟹4y=24⟹y=6$

So $x=5,y=6$