Solve the absolute value equation or indicate that the equation has no solution.
-$y = | 2 x + 7 |$ and $y = 6$
A) $- \frac { 1 } { 2 } , - \frac { 13 } { 2 }$
B) $- \frac { 1 } { 7 } , - \frac { 13 } { 7 }$
C) $\frac { 1 } { 2 } , \frac { 13 } { 2 }$
D) No solutions

Question

Quizplus · Accepted Answer

To solve $y = | 2x + 7 |$, set $y = 6$ and solve for $x$. This gives two equations: $2x + 7 = 6$ and $2x + 7 = -6$. Solving these yields $x = -\frac{1}{2}$ and $x = -\frac{13}{2}$, respectively.

Solve the Absolute Value Equation or Indicate That the Equation y=∣2x+7∣y = | 2 x + 7 |y=∣2x+7∣

Solve the Absolute Value Equation or Indicate That the Equation $y = | 2 x + 7 |$