Question

What is the value of x and y in the expression 72x + 12y = 60?

A. x = 1, y = 4
B. x = 2, y = 3
C. x = 3, y = 2
D. x = 4, y = 1

Answer 1

To find the values of x and y, we need to solve the equation 72x + 12y = 60. The correct answer is option A: x = 1, y = 4.

Step-by-step explanation:

To find the values of x and y in the expression 72x + 12y = 60, we need to solve the equation.

Step 1: Rearrange the equation to isolate one variable:

72x = 60 - 12y

Step 2: Divide both sides of the equation by 72 to solve for x:

x = (60 - 12y) / 72

Step 3: Substitute the given answer choices for y and calculate the corresponding values of x.

• For option A: y = 4, so x = (60 - 12(4)) / 72 = 1
• For option B: y = 3, so x = (60 - 12(3)) / 72 = 2
• For option C: y = 2, so x = (60 - 12(2)) / 72 = 3
• For option D: y = 1, so x = (60 - 12(1)) / 72 = 4

Therefore, the correct answer is option A. x = 1, y = 4.