Solve the system by substitution.
{−4.5x−2y=−12.53.25x−y=−0.75
First, solve the second equation for y:
3.25x - y = -0.75
y = 3.25x + 0.75
Now substitute y into the first equation:
-4.5x - 2(3.25x + 0.75) = -12.5
-4.5x - 6.5x - 1.5 = -12.5
-11x - 1.5 = -12.5
-11x = -11
x = 1
Now that we have the value of x, substitute it back into the second equation to solve for y:
y = 3.25(1) + 0.75
y = 3.25 + 0.75
y = 4
Therefore, the solution to the system of equations by substitution is x = 1 and y = 4.