Answer
The solution is $(40, 12)$.
Work Step by Step
Substitute $y=2+0.25x$ into the first equation:
$0.3x - (2 + 0.25x) = 0$
Distribute first:
$0.3x - 2 - 0.25x) = 0$
Group like terms:
$(0.3x - 0.25x) - 2 = 0$
Combine like terms:
$0.05x - 2 = 0$
Add $2$ to each side of the equation:
$0.05x = 2$
Divide each side by $0.05$ to solve for $x$:
$x = 40$
Now that we have the value for $x$, we can substitute this value in for $x$ into the second equation to solve for $y$:
$y = 0.25(40) + 2$
Multiply first:
$y = 10 + 2$
Add to solve for $y$:
$y = 12$
The solution is $(40, 12)$.
