To solve this system by substitution, we will solve one equation for one variable and substitute it into the other equation.
Let's solve the second equation for y:
3.25x - y = -0.75
To isolate y, we can subtract 3.25x from both sides:
-y = -0.75 - 3.25x
To get rid of the negative sign, we will multiply both sides by -1:
y = 0.75 + 3.25x
Now that we have the value of y in terms of x, we can substitute it into the first equation:
-4.5x - 2(0.75 + 3.25x) = -12.5
Simplify:
-4.5x - 1.5 - 6.5x = -12.5
Combine like terms:
-11x - 1.5 = -12.5
To isolate x, we can add 1.5 to both sides:
-11x = -11
Divide both sides by -11:
x = 1
Now that we have the value of x, we can substitute it back into the equation for y:
y = 0.75 + 3.25(1)
Simplify:
y = 0.75 + 3.25
y = 4
Therefore, the solution to the system of equations is x = 1 and y = 4.
Note: Enter your answer and show all the steps that you use to solve this problem.
Solve the system substitution.
{-4.5x-2y=-12.5
{3.25x-y=-0.75
1 answer