Plug a few points into the original equations and check to show that the system of equations has one solution. Explain your work.

Question

5x+5=5x+4
3x+18 =5x+8

Answer 1

Let's plug in x = 1 into the first equation:

5(1) + 5 = 5(1) + 4
10 = 9

This equation is clearly false, indicating that x = 1 is not a solution to the first equation.

Now let's plug in x = 2 into the second equation:

3(2) + 18 = 5(2) + 8
6 + 18 = 10 + 8
24 = 18

This equation is also false, indicating that x = 2 is not a solution to the second equation.

Since we can't find a solution for both equations simultaneously, the system of equations does not have a unique solution.