Question

Solve the proportion. If necessary, round to the nearest hundredth.

4q−35=2q+17




q=

Answer 1

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.