Answer
See graph
.
Work Step by Step
Find the intercepts (set x=0, set y=0)
and a check point (set a value for x or y, find the other variable value)
$\left[\begin{array}{lll}
\text {y-intercept } & \text {x-intercept} & \text {checkpoint}\\
& & \\
x=0 & y=0 & x=1\\
25y=100-0 & 0=100-50x & 25y=100-50(1)\\
y=4 & 50x=100 & 25y=50\\
& x=2 & y=2\\
(0,4) & (2,0) & (1,2)
\end{array}\right]$
Plot the points and a line through them.