Question

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

Answer 1

23) x =
`(-60)/(9)` = -6.666.

24) x =
`(-12)/(7)` = -1.7142.

25) x =
`(-37)/(5)` = -7.4.

Explanation:

Step 1; For
`(x+6)/(3)` =
`(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 =
`(-60)/(9)` = -6.6666.

Step 2; For
`(-5)/(x-4)` =
`(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 =
`(-24)/(14)` = -1.7142.

Step 3; For
`(6)/(11)` =
`(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 =
`(-37)/(5)` = -7.4.