Question

solve the following. if your answer is not an integer, enter it as a reduced fraction.
$x - \frac{1}{8} = \frac{7}{8}$
$x = \square$
question help: video message instructor
submit question
question 6
0/1 pt 4 99 details
simplify both sides of the following equation as much as possible, and then solve:
$5y + 4 - 4y = 5 + 12$
answer: $y = \square$
question help: video message instructor
submit question
question 7
0/1 pt 4 99 details
simplify both sides of the following equation as much as possible, and then solve:
$11x - 3 - 10x = 7 + 11$
answer: $x = \square$
question help: video message instructor
submit question

Explanation:

Step1: Isolate $x$ by adding $\frac{1}{8}$

$x = \frac{7}{8} + \frac{1}{8}$

Step2: Sum the fractions

$x = \frac{7+1}{8} = \frac{8}{8} = 1$

---

Step1: Simplify like terms for $y$

$5y - 4y + 4 = 5 + 12$
$y + 4 = 5 + 12$

Step2: Sum constants on right

$y + 4 = 17$

Step3: Isolate $y$ by subtracting 4

$y = 17 - 4$
$y = 13$

---

Step1: Simplify like terms for $x$

$11x - 10x - 3 = 7 + 11$
$x - 3 = 7 + 11$

Step2: Sum constants on right

$x - 3 = 18$

Step3: Isolate $x$ by adding 3

$x = 18 + 3$
$x = 21$

Answer:

$x = 1$
$y = 13$
$x = 21$