205k views
2 votes
Solve the proportion. If necessary, round to the nearest hundredth.

4q−35=2q+17




q=

User Hynek
by
6.7k points

1 Answer

4 votes

Answer: To solve the proportion 4q - 35 = 2q + 17, we need to isolate the variable q. Here's how you can do it step-by-step:

1. Start by getting rid of the constants on both sides of the equation. Add 35 to both sides:

4q - 35 + 35 = 2q + 17 + 35

This simplifies to:

4q = 2q + 52

2. Next, subtract 2q from both sides to move all the terms involving q to one side of the equation:

4q - 2q = 2q + 52 - 2q

This simplifies to:

2q = 52

3. Now, divide both sides of the equation by 2 to solve for q:

2q/2 = 52/2

This simplifies to:

q = 26

So the solution to the proportion 4q - 35 = 2q + 17 is q = 26.

Step-by-step explanation:To solve the proportion 4q - 35 = 2q + 17, we need to isolate the variable q. Here's how you can do it step-by-step:

1. Start by getting rid of the constants on both sides of the equation. Add 35 to both sides:

4q - 35 + 35 = 2q + 17 + 35

This simplifies to:

4q = 2q + 52

2. Next, subtract 2q from both sides to move all the terms involving q to one side of the equation:

4q - 2q = 2q + 52 - 2q

This simplifies to:

2q = 52

3. Now, divide both sides of the equation by 2 to solve for q:

2q/2 = 52/2

This simplifies to:

q = 26

So the solution to the proportion 4q - 35 = 2q + 17 is q = 26.

User Pavel Uspenskiy
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories