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13. \\(\frac{b}{c} = a\\); \\(c\\) 14. \\(k = a - y\\); \\(y\\) 15. \\(…

Question

  1. \\(\frac{b}{c} = a\\); \\(c\\) 14. \\(k = a - y\\); \\(y\\) 15. \\(dfg = h\\); \\(f\\) 16. \\(w = \frac{x}{a - b}\\); \\(x\\)

Explanation:

Step1: Isolate $c$ (Q13)

Multiply both sides by $c$: $\frac{b}{c} \times c = a \times c \implies b = ac$
Divide both sides by $a$: $\frac{b}{a} = \frac{ac}{a} \implies c = \frac{b}{a}$

Step2: Isolate $y$ (Q14)

Rearrange terms: $y = a - k$

Step3: Isolate $f$ (Q15)

Divide both sides by $dg$: $\frac{dfg}{dg} = \frac{h}{dg} \implies f = \frac{h}{dg}$

Step4: Isolate $x$ (Q16)

Multiply both sides by $a-b$: $w \times (a-b) = \frac{x}{a-b} \times (a-b) \implies x = w(a-b)$

Answer:

  1. $c = \frac{b}{a}$
  2. $y = a - k$
  3. $f = \frac{h}{dg}$
  4. $x = w(a-b)$