use the substitution method
5x+4y=-8
x=8-4y
How do you do this?
See my response to Daisy that follows.
I hope it helps.
To solve the system of equations using the substitution method, follow these steps:
Step 1: Start with the given system of equations:
5x + 4y = -8 (Equation 1)
x = 8 - 4y (Equation 2)
Step 2: Solve one equation for one variable in terms of the other variable. In this case, Equation 2 is already solved for x.
Step 3: Substitute the expression for the variable from Equation 2 into Equation 1. Replace x in Equation 1 with 8 - 4y:
5(8 - 4y) + 4y = -8
Step 4: Simplify and solve for y by combining like terms:
40 - 20y + 4y = -8
40 - 16y = -8
-16y = -48
y = 3
Step 5: Substitute the value of y back into Equation 2 to find the value of x:
x = 8 - 4(3)
x = 8 - 12
x = -4
Step 6: Check the solution by substituting the values of x and y into both equations:
Equation 1: 5x + 4y = -8
5(-4) + 4(3) = -8
-20 + 12 = -8
-8 = -8 (True)
Equation 2: x = 8 - 4y
-4 = 8 - 4(3)
-4 = 8 - 12
-4 = -4 (True)
Therefore, the solution to the given system of equations is x = -4 and y = 3.