Given the equation 125 + 4x = 7y, what is x expressed in terms of y?

Given the equation 125 + 4x = 7y, what is x expressed in terms of y?

• A. x = 4(7y − 125)
• B. x = 4(7y + 125)
• C. x = (7y − 125) ÷ 4
• D. x = (7y + 125) ÷ 4

Answer: (C)

To express x in terms of y from the equation 125 + 4x = 7y, we need to isolate x on one side of the equation. Begin by subtracting 125 from both sides of the equation: 4x = 7y - 125 Next, to solve for x, divide both sides of the equation by 4: x = (7y - 125) ÷ 4 This result directly matches the correct answer choice, demonstrating that x is indeed expressed as the quantity (7y - 125) divided by 4. This form shows how x relates directly to y based on the original equation. When dealing with linear equations, isolating the desired variable on one side and performing inverse operations, like division, is a standard method for solving for one variable in terms of another.

To express x in terms of y from the equation 125 + 4x = 7y, we need to isolate x on one side of the equation.

Begin by subtracting 125 from both sides of the equation:

4x = 7y - 125

Next, to solve for x, divide both sides of the equation by 4:

x = (7y - 125) ÷ 4

This result directly matches the correct answer choice, demonstrating that x is indeed expressed as the quantity (7y - 125) divided by 4. This form shows how x relates directly to y based on the original equation. When dealing with linear equations, isolating the desired variable on one side and performing inverse operations, like division, is a standard method for solving for one variable in terms of another.