4x+22=8x+10 5x+5=5x+4
check to show that they can have no
solution. Explain your work.
For the first equation, we can simplify it by first subtracting 4x from both sides to get:
22 = 4x + 10
Then we subtract 10 from both sides to get:
12 = 4x
Finally, we divide both sides by 4 to get:
3 = x
So x = 3 is the solution to the first equation.
For the second equation, we can subtract 5x from both sides to get:
5 = 4
This is a contradiction - 5 cannot be equal to 4. Therefore, there is no solution to the second equation.
In summary, the two equations can have no solution since the first one has a unique solution for x, and the second one is a contradiction.