Find all values of x satisfying the given conditions.
-$\mathrm { y } = | 8 \mathrm { x } + 7 |$ and $\mathrm { y } = 2$
A) $- \frac { 5 } { 8 } , - \frac { 9 } { 8 }$
B) $- \frac { 5 } { 7 } , - \frac { 9 } { 7 }$
C) $\frac { 5 } { 8 } , \frac { 9 } { 8 }$
D) No solutions

Question

Quizplus · Accepted Answer

Substituting y with 2, we get:
$$2 = |8x + 7|$$
Taking cases:
Case 1: 8x + 7 > 0
$$2 = 8x + 7$$
$$-5 = 8x$$
$$x = -\frac{5}{8}$$
Case 2: 8x + 7 < 0
$$2 = -8x - 7$$
$$9 = -8x$$
$$x = -\frac{9}{8}$$
Therefore, the solution is x = -5/8 or x = -9/8.

Find All Values of X Satisfying the Given Conditions y=∣8x+7∣\mathrm { y } = | 8 \mathrm { x } + 7 |y=∣8x+7∣

Find All Values of X Satisfying the Given Conditions $\mathrm { y } = | 8 \mathrm { x } + 7 |$