Question

Values of x & y in the system of equations: 2x = 3y° (x - 12) (y + 20) A) x = 30, y = 20 B) x = 20, y = 30 C) x = 25, y = 15 D) x = 15, y = 25

Answer 1

To find the values of x and y in the system of equations, solve for x and y simultaneously by rearranging the equation and using the quadratic formula or factoring.

The correct answer is option A.

Step-by-step explanation:

To find the values of x and y in the system of equations, we need to solve for x and y simultaneously. The given equation is 2x = 3y(x - 12)(y + 20).

Step 1: Distribute the y term to get 2x = 3y^2 - 36y + 60y - 720.

Step 2: Combine like terms to get 2x = 3y^2 + 24y - 720.

Step 3: Rearrange the equation to get 3y^2 + 24y - 2x - 720 = 0.

Step 4: Use the quadratic formula or factoring to solve for y. Once you find the value(s) of y, substitute it back into the original equation to find the corresponding value(s) of x.

The correct answer is option A) x = 30, y = 20.