Question

Proportions please help! ​

Answer 1

Answer:

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

Step-by-step 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!

Answer 2

Answer:

$x= -12$

Step-by-step explanation:

Step 1: Write equation

$\frac{5}{x-3} =\frac{7}{x-9}$

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.

$\frac{5}{-12-3} =\frac{7}{-12-9}$

$\frac{5}{-15} =\frac{7}{-21}$

$\frac{-1}{3} =\frac{-1}{3}$