Answer
One common solution $\Rightarrow$ $(\frac{1}{4},\frac{2}{5})$
Work Step by Step
We use the addition method below:
We add the two equations:
$16x+5y=6$
$7x+\frac{5}{8}y=2$
Multiply the first equation by $7$ and the second equation by $-16$ to cancel $x$:
$+112x+35y=+42$
$\underline{-112x-10y=-32}$
$25y=10$
Solve for $y$:
$y=\frac{10}{25}=\frac{2}{5}$
Substitute into any of the two equations and solve for $x$:
$16x+5(\frac{2}{5})=6$
$16x+2=6$
$16x=6-2$
$16x=4$
$x=\frac{4}{16}$
Reduce the fraction:
$x=\frac{1}{4}$
