1. Solve the absolute value equation, if possible. If there is no solution, explain why.

| 5x + 13| = - 7

There is no solution. The 'l l' bars in the equation means absolute value. Basically absolute value is the positive value of whatever '5x+13'.

In short l 5x+13 l has to be a positive number.

Since - 7 is a negative number, l 5x+13 l can never be equal to it.

There are no solutions

5x + 13 = - 7

-13 - 13

5x = - 20

divide by 5

x = - 4