Here is my question. How do you solve th substitution method in this problem? 9x - y = 40
y = 4x
Y=32
x=8
To solve a system of equations using the substitution method, you need to isolate one variable in one of the equations and substitute it into the other equation. Let's start solving the given system of equations:
1. The given equations are:
9x - y = 40 ...(Equation 1)
y = 4x ...(Equation 2)
2. In Equation 2, y is already isolated. We can substitute the value of y from Equation 2 into Equation 1 to solve for x:
Substitute y = 4x into Equation 1:
9x - (4x) = 40
Simplify the equation:
9x - 4x = 40
5x = 40
Divide both sides of the equation by 5 to solve for x:
x = 40 / 5
x = 8
3. Now that we have found the value of x, we can substitute it back into Equation 2 to find the value of y:
Substitute x = 8 into Equation 2:
y = 4(8)
y = 32
4. Therefore, the solution to the system of equations is x = 8 and y = 32.
In summary, we solved the system of equations by isolating y in Equation 2 and substituting it into Equation 1. Then we solved for x and substituted it back to find the value of y.