Question

Solve the equation. If there is not solution, write no solution. 4 times the absolute value of the quantity x plus one third end of quantity equals 20

Answer 1

The two solutions to the equation are x = 14/3 or x = -16/3

Explanation:

To find these values, go through the steps of solving an equation as if the absolute value symbol is just a parenthesis.

4|x + 1/3| = 20

|x + 1/3| = 5

Now that we have it down to just this, we know what is inside the absolute value symbol to be either +5 or -5. So we need to solve this twice using each option.

x + 1/3 = 5

x = 14/3

x - 1/3 = -5

x = -16/3