Question

1. \\(\frac{13}{5} + x = -\frac{13}{5}\\) check : \\(\frac{5}{6}v = 1\frac{7}{8}\\) check

Explanation:

Step1: Isolate x in Q6

Subtract $\frac{13}{5}$ from both sides.
$x = -\frac{13}{5} - \frac{13}{5}$

Step2: Calculate x for Q6

Combine the fractions.
$x = \frac{-13 - 13}{5} = -\frac{26}{5}$

Step3: Convert mixed number in Q8

Rewrite $1\frac{7}{8}$ as an improper fraction.
$1\frac{7}{8} = \frac{1\times8 + 7}{8} = \frac{15}{8}$

Step4: Isolate v in Q8

Multiply both sides by $\frac{6}{5}$.
$v = \frac{15}{8} \times \frac{6}{5}$

Step5: Simplify to find v

Cancel common factors and multiply.
$v = \frac{15\times6}{8\times5} = \frac{3\times3}{4\times1} = \frac{9}{4}$

Answer:

For question 6: $x = -\frac{26}{5}$
For question 8: $v = \frac{9}{4}$