Question

Proportions please help! ​

Answer 1

`x= -12`

Explanation:

Step 1: Write equation

`(5)/(x-3) =(7)/(x-9)`

Step 2: Solve for x

1. Cross multiply:
   `5(x-9)=7(x-3)`
2. Distribute:
   `5x-45=7x-21`
3. Subtract 5x on both sides:
   `-45=2x-21`
4. Add 21 to both sides:
   `-24=2x`
5. Divide both sides by 2:
   `-12=x`
6. Rewrite:
   `x= -12`

Step 3: Check

Plug in x to verify it's a solution.

`(5)/(-12-3) =(7)/(-12-9)`

`(5)/(-15) =(7)/(-21)`

`(-1)/(3) =(-1)/(3)`

Answer 2

`\huge\boxed{x=-12}`

Explanation:

In order to solve for this proportion, it’s important to note that this is basically just an equation. Like any other, our goal is to isolate x on one side.

Since we have two fractions, we can multiply both sides by both the denominators (x-3 and x-9). Since one will cancel out the other, we can just multiply both sides by the opposite denominator.

`5(x-9)=7(x-3)\\\\5x-45=7x-21`

Now we can solve for x.

Subtract 5x from both sides:

`-45=2x-21`

Add 21 to both sides:

`-24=2x`

Divide both sides by 2:

`x = -12`

Hope this helped!