Multiply by (v+12): First, we multiply both sides of the equation by (v+12) to eliminate the denominator. This gives us 9(v+12) = v+4.Distribute 9 on left side: Next, we distribute the 9 on the left side of the equation. This gives us 9v + 108 = v + 4.Subtract v terms: Then, we subtract v from both sides of the equation to bring all the v terms to one side. This gives us 9v - v + 108 = 4. After simplifying, we get 8v + 108 = 4.Isolate term with v: Now, we subtract 108 from both sides of the equation to isolate the term with v. This gives us 8v = 4 - 108. After simplifying, we get 8v = -104.Divide by 8: Finally, we divide both sides of the equation by 8 to solve for v. This gives us v = -104 / 8. After simplifying, we get v = -13.

Resources

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$9=\frac{(v+4)}{(v+12)}$

View step-by-step help

Home

Math Problems

Algebra 2

Solve a system of equations using any method

Full solution

9=\frac{(v+4)}{(v+12)}

Multiply by $(v+12)$ : First, we multiply both sides of the equation by $(v+12)$ to eliminate the denominator. $\newline$ This gives us $9(v+12) = v+4$ .
Distribute $9$ on left side: Next, we distribute the $9$ on the left side of the equation. $\newline$ This gives us $9v + 108 = v + 4$ .
Subtract $v$ terms: Then, we subtract $v$ from both sides of the equation to bring all the $v$ terms to one side. $\newline$ This gives us $9v - v + 108 = 4$ . $\newline$ After simplifying, we get $8v + 108 = 4$ .
Isolate term with $v$ : Now, we subtract $108$ from both sides of the equation to isolate the term with $v$ . This gives us $8v = 4 - 108$ . After simplifying, we get $8v = -104$ .
Divide by $8$ : Finally, we divide both sides of the equation by $8$ to solve for $v$ . This gives us $v = -104 / 8$ . After simplifying, we get $v = -13$ .