PLEASE HELP
5x+7y=12
x=36-7y
solve by the substitution methond
5x+7y=12 Original Problem
5(36-7y)+7y=12 Substitute x for 36-7y
180-35y+7y=12 Distributive Property
180-28y=12 Combine Like Terms
-28y=-168 Subtract 180 from both sides
y=6 Isolate variable y by dividing
-28 from both sides.
5x+7y=12
x=36-7y
5(36-7y) + 7y = 12
180 - 35y + 7y = 12
168 = 35y - 7y
168 = 28y
168/28 = y
6 = y
Substitute 6 for y in the first equation.
No Ms. Sue. I got thissss.
To solve the given system of equations using the substitution method, you need to isolate one variable in one equation and substitute it into the other equation. Here's how you can proceed:
Step 1: Start with the given system of equations:
5x + 7y = 12 ...(Equation 1)
x = 36 - 7y ...(Equation 2)
Step 2: Choose one of the equations to isolate a variable. In this case, Equation 2 is already solved for x, so we can use it.
Step 3: Substitute the value of x from Equation 2 into Equation 1.
Substituting x = 36 - 7y into Equation 1:
5(36 - 7y) + 7y = 12
Step 4: Simplify and solve for y.
180 - 35y + 7y = 12
180 - 28y = 12
Bring the constant term to the other side:
180 - 12 = 28y
168 = 28y
Divide both sides by 28:
168/28 = y
6 = y
So, the value of y is 6.
Step 5: Substitute the value of y back into either equation to solve for x. Let's use Equation 2:
x = 36 - 7(6)
x = 36 - 42
x = -6
Therefore, the solution to the given system of equations is x = -6, y = 6.