Plug a few points into the original equations and check to show that they system of equations has one solution. The equation is 3x + 18 = 5x + 8

1 answer

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

3(1) + 18 = 5(1) + 8
3 + 18 = 5 + 8
21 = 13

This is not true, so x = 1 is not a solution to the equation.

Now let's try x = 4:

3(4) + 18 = 5(4) + 8
12 + 18 = 20 + 8
30 = 28

This is also not true, so x = 4 is not a solution to the equation.

Therefore, the system of equations does not have one solution.