use the substitution method to solve
7x+5y=-26
x=28-6y
I know this!
Put it in for x.
So 7(28-6y) +5y=-26
use that to get y, then plug your answer for y into one of the equations to get x
okay so then 196-42y+5y=-26
then combined like terms so
196+37y=-26
37y=-222
y=-6 is this part correct?
solve by using the substitution method.
5x-3y=-25
4x+34=y
m-3n=8
To solve the given system of equations using the substitution method, we can follow these steps:
Step 1: Start with one of the equations and solve it for one variable in terms of the other variable.
Let's take the second equation, x = 28 - 6y.
Step 2: Substitute the expression for the variable found in step 1 into the other equation.
Substitute x with 28 - 6y in the first equation: 7(28 - 6y) + 5y = -26.
Step 3: Simplify and solve the resulting equation for the remaining variable.
Multiply the terms inside the parentheses: 196 - 42y + 5y = -26.
Combine like terms: -37y + 196 = -26.
Subtract 196 from both sides: -37y = -222.
Divide both sides by -37: y = 6.
Step 4: Substitute the value of y back into either of the original equations to find the value of the remaining variable.
Let's substitute y = 6 into the second equation: x = 28 - 6(6).
Simplify: x = 28 - 36 = -8.
So the solution to the system of equations is x = -8 and y = 6.