Question

Solve for $x$ and $y$:

$6x-9y=15$
$6x-8y=14$

Answer 1

Let $6x-9y=15$...(1) and $6x-8y=14$...(2)

Now, subtracting (1) from (2), we get,

$\Rightarrow 6x-6x-8y+9y=14-15$

$\Rightarrow y=-1$

Now, substituting the value of $y$ in equation(1),

$\Rightarrow 6x-9(-1)=15$

$\Rightarrow 6x=15+9$

$\Rightarrow x=\frac{24}{6}=4$

Hence, $x=4$ and $y=-1$