Note: Determine whether the solution to the new equation is a solution to the old system of equations by graphing. Use Desmos!

Question

The solution to the original system of equations (is also, is not) a solution to the new equation.

Solve the system of equations by SUBSTITUTION.

6y + 5x = 8

x + 3y = -7

Answer 1

To solve the system of equations by substitution, we'll solve one equation for one variable and substitute it into the other equation.

Let's solve the second equation for x:
x = -7 - 3y

Now, substitute this value of x into the first equation:
6y + 5(-7 - 3y) = 8

Solving this equation will give us the value of y, and then we can substitute it back into one of the original equations to find the value of x.