Plug more than one point into the original equations and check to show that the

Question

equations can have more than one solution. Explain your work
2x+3=2x+7
7x+3=7x+3

Answer 1

Let's plug in x = 0 into both equations:

For the first equation: 2(0) + 3 = 2(0) + 7
0 + 3 = 0 + 7
3 = 7

This equation is clearly not true, so x = 0 is not a solution to the first equation.

For the second equation: 7(0) + 3 = 7(0) + 3
0 + 3 = 0 + 3
3 = 3

This equation is true, so x = 0 is a solution to the second equation.

This shows that the equations can have more than one solution. In this case, the first equation has no solution while the second equation has an infinite number of solutions.