## Elementary Technical Mathematics

The two equations/lines $coincide$ (overlap). Infinite solutions.
We use the addition method below: We add the two equations: $\frac{1}{4}x-\frac{2}{5}y=1$ $5x-8y=20$ Multiply both sides of the first equation by $-20$ to cancel $x$. $-5x+8y=-20$ $\underline{+5x-8y=+20}$ $0=0$ This is a true statement, which means we have infinite solutions. So the two equations/lines coincide (overlap).