Hello all,

I just spent (embarrassingly) 20 minutes working out this problem and I think the answer is $\displaystyle (-5,-\frac{10}{3})$

$\displaystyle x=\frac{3}{2}y$

$\displaystyle x=3y+5$

I've been practicing them but they all take me so long because I feel like I have to hunt and peck to find something that works. I sort stumbled around and finally came to the answer by solving $\displaystyle x=3y+5$ for y and converting the fraction to $\displaystyle x=3y$. There must be a step-by-step (like PEMDAS or BODMAS) strategy to solve these systems quickly and I have to master by next Monday.

I appreciate any help on this, thank you.