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.