Find all values of x satisfying the given conditions.
-$y = | x - 3 |$ and $y = 9$
A) 12
B) $- 6,12$
C) $- 12,6$
D) No solutions

Question

Quizplus · Accepted Answer

Given $y = | x - 3 |$, and $y = 9$, we substitute $y$ in the first equation with 9: $9 = | x - 3 |$. This equation has two solutions because the absolute value of a number can be positive or negative. Solving $x - 3 = 9$ gives $x = 12$, and solving $x - 3 = -9$ gives $x = -6$.

Find All Values of X Satisfying the Given Conditions y=∣x−3∣y = | x - 3 |y=∣x−3∣

Find All Values of X Satisfying the Given Conditions $y = | x - 3 |$