Plug three points into the original equations and check to show that they can have no solution. explain your work.
5x+5=5x+4
2x+3=2x+7
Let's plug in the points (1,1) into the equations:
5(1) + 5 = 5(1) + 4
10 = 9
This is not a true statement, which means that there is no solution to this equation. This can happen if the two expressions are equal, and in this case, they are not.
Now let's plug in the points (1,1) into the second equation:
2(1) + 3 = 2(1) + 7
5 = 9
Again, this is not a true statement, indicating that there is no solution to this equation.
In both cases, we have shown that by plugging in the points (1,1) into the original equations, there is no solution. This is because the equations result in contradictory statements, which can only occur if there is no solution.