Question

Please help!"solving proportions" is what needs doneplease show all work clearly!​

Answer 1

23) x = $\frac{-60}{9}$ = -6.666.

24) x = $\frac{-12}{7}$ = -1.7142.

25) x = $\frac{-37}{5}$ = -7.4.

Step-by-step explanation:

Step 1; For $\frac{x+6}{3}$ = $\frac{x+4}{12}$, we cross multiply the denominators and get,

3 × (x + 4) = 12 × (x + 6),

3x + 12 = 12x + 72.

We take all the x terms to the LHS and keep the constants on the RHS.

3x - 12x = 72 - 12,

-9x = 60, x = $\frac{-60}{9}$ = -6.6666.

Step 2; For $\frac{-5}{x-4}$ = $\frac{9}{x+12}$, we cross multiply the denominators and get,

-5 × (x + 12) = 9 × (x - 4),

-5x - 60 = 9x - 36.

We take all the x terms to the LHS and keep the constants on the RHS.

-5x - 9x = -36 + 60,

-14x = 24, x = $\frac{-24}{14}$ = -1.7142.

Step 3; For $\frac{6}{11}$ = $\frac{x-1}{x-8}$, we cross multiply the denominators and get,

6 × (x - 8) = 11 × (x - 1),

6x - 48 = 11x - 11.

We take all the x terms to the LHS and keep the constants on the RHS.

6x - 11x = -11 + 48,

-5x = 37, x = $\frac{-37}{5}$ = -7.4.