$$\frac{16x-300}{5}-\frac{7y+24}{7}=170$$
$x=\frac{5y}{16}+\frac{4085}{56}$
$$7\left(16x-300\right)-5\left(7y+24\right)=5950$$
$$112x-2100-5\left(7y+24\right)=5950$$
$$112x-2100-35y-120=5950$$
$$112x-2220-35y=5950$$
$$112x-35y=5950+2220$$
$$112x-35y=8170$$
$$112x=8170+35y$$
$$112x=35y+8170$$
$$\frac{112x}{112}=\frac{35y+8170}{112}$$
$$x=\frac{35y+8170}{112}$$
$$x=\frac{5y}{16}+\frac{4085}{56}$$
Show Solution
Hide Solution
$y=\frac{16x}{5}-\frac{1634}{7}$
$$-2220-35y=5950-112x$$
$$-35y=5950-112x+2220$$
$$-35y=8170-112x$$
$$\frac{-35y}{-35}=\frac{8170-112x}{-35}$$
$$y=\frac{8170-112x}{-35}$$
$$y=\frac{16x}{5}-\frac{1634}{7}$$
