Question

question 17 of 30
solve for v.
\\(-\frac{3}{4}+v = \frac{7}{8}\\)
simplify your answer as much as possible.
question 18 of 30
solve for w.
\\(\frac{6w}{7}=12\\)
simplify your answer as much as possible.
question 19 of 30
solve for x.
\\(\frac{5x - 19}{-3}=-7\\)
simplify your answer as much as possible.
\\(x = \square\\)
question 20 of 30
solve for v.
\\(\frac{5v}{8}=-15\\)
simplify your answer as much as possible.
\\(v = \underline{\quad\quad}\\)

Explanation:

Question 17

Step1: Add $\frac{3}{4}$ to both sides

$-\frac{3}{4} + v + \frac{3}{4} = \frac{7}{8} + \frac{3}{4}$

Step2: Simplify the right side (find common denominator)

$\frac{7}{8} + \frac{6}{8} = \frac{13}{8}$

Step1: Multiply both sides by 7

$\frac{6w}{7} \times 7 = 12 \times 7$

Step2: Simplify both sides

$6w = 84$

Step3: Divide both sides by 6

$\frac{6w}{6} = \frac{84}{6}$

Step4: Simplify

$w = 14$

Step1: Multiply both sides by -3

$\frac{5x - 19}{-3} \times (-3) = -7 \times (-3)$

Step2: Simplify both sides

$5x - 19 = 21$

Step3: Add 19 to both sides

$5x - 19 + 19 = 21 + 19$

Step4: Simplify

$5x = 40$

Step5: Divide both sides by 5

$\frac{5x}{5} = \frac{40}{5}$

Step6: Simplify

$x = 8$

Answer:

$v = \frac{13}{8}$

Question 18