Solve the system by substitution.
−4.5x−2y=−12.5
{
3.25x−y=−0.75
To solve this system of equations by substitution, we will first isolate one of the variables in one of the equations and then substitute that expression into the other equation.
From the second equation:
3.25x - y = -0.75
y = 3.25x + 0.75
Now substitute this expression for 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 found the value of x, we can substitute it back into one of the original equations to find the value of y.
3.25(1) - y = -0.75
3.25 - y = -0.75
-y = -4
y = 4
Therefore, the solution to the system of equations is x = 1, y = 4.