solve the following absolute - value equation.\n$\frac{|3x - 3|}{5}=6$\n$x = ?, $\nenter the smallest…
solve the following absolute - value equation.\n$\frac{|3x - 3|}{5}=6$\n$x = ?, $\nenter the smallest solution first.
Answer
Explanation:
Step1: Remove the absolute - value
Since $\left|\frac{3x - 3}{5}\right|=6$, then $\frac{3x - 3}{5}=6$ or $\frac{3x - 3}{5}=-6$.
Step2: Solve $\frac{3x - 3}{5}=6$
Multiply both sides by 5: $3x - 3=30$. Add 3 to both sides: $3x=33$. Divide both sides by 3: $x = 11$.
Step3: Solve $\frac{3x - 3}{5}=-6$
Multiply both sides by 5: $3x - 3=-30$. Add 3 to both sides: $3x=-27$. Divide both sides by 3: $x=-9$.
Answer:
$-9,11$