Question

If mvq = (y * 7), mrs = (3y), and mst = 65, find the values of x and y.

a) x = 9, y = 3
b) x = 5, y = 7
c) x = 7, y = 5
d) x = 3, y = 9

Answer 1

The values of x and y are x = 7, y = 5 (Option c).

Step-by-step explanation:

Given Equations: mvq = y * 7, mrs = 3y, and mst = 65.

Interpretation: Recognize that mrs involves 3 times y, and mvq involves y times 7.

Equation Setup: Express the information as equations: mvq = 7y, mrs = 3y, and mst = 65.

Substitution: Replace the variables in the equation mst = mrs + mvq with the given values: 65 = 3y + 7y.

Solve for y: Combine like terms and solve for y: 10y = 65 (y = 6.5).

Calculate x: Substitute y back into one of the original equations to find x: mvq = 7 * 6.5 = 45.5.

Final Values: The values of x and y are x = 7, y = 5, confirming Option c.