Solve the following system of equations.

x+3y=6
x=8-3y
What is the solution of the system?
Type the ordered pair or indicate if there is no solution.

Thank you very much

x+3y=6

x=8-3y

Use substitution to solve.
(8-3y) + 3y = 6
simplified comes to 8=6 impossible, so no solutions.

Lynette is correct.

x + 3y cannot be both 6 and 8.

To solve the system of equations, we can use the method of substitution or elimination.

Let's start by using the method of substitution. We have one equation that is already solved for x:

x = 8 - 3y

Now we substitute this expression for x into the other equation:

x + 3y = 6

(8 - 3y) + 3y = 6

8 - 3y + 3y = 6

8 = 6

This equation is not true for any value of y. Therefore, there is no solution to the system of equations.

The system is inconsistent, meaning there are no values of x and y that simultaneously satisfy both equations.