Question

Solve for x. If not solution, type no solution.

a. 15x - 3|= 12
X=
X=

b. lx + 8) = 2
X=
X=

c. |x-41 = -5
X=
X=

Answer 1

Part a

`|5x-3|=12\\\\5x-3=\pm 12\\\\5x=3 \pm 12\\ \\ 5x=-9, 15\\\\x=-(9)/(5), 3`

Part b

`|x+8|=2\\\\x+8=\pm 2\\\\x=-8 \pm 2\\\\x=-10, -6`

Part c

The equation has no solutions because the absolute value function provides non-negative outputs.