Question

For the equations: 2x = 8y + 24 and 2x = -9y - 12, what are the values of x and y?

a) x = -12, y = -2
b) x = -6, y = -3
c) x = 12, y = 2
d) x = 6, y = 3

Answer 1

To find the values of x and y for the given equations 2x = 8y + 24 and 2x = -9y - 12, we can use the method of substitution or elimination. By adding the two equations together, we can eliminate the x variable and find the value of y. Substituting the value of y back into the original equation allows us to find the value of x as well.

Step-by-step explanation:

To find the values of x and y for the equations 2x = 8y + 24 and 2x = -9y - 12, we can use the method of substitution or elimination.

Using the method of elimination, we can add the two equations together to eliminate the x variable.

We get 4x = 4y + 12.

Simplifying further, we get x = y + 3. To find the value of y, we can substitute this x value into one of the original equations. Substituting x = y + 3 into 2x = 8y + 24, we get 2(y + 3) = 8y + 24.

Solving this equation, we find y = -3. Finally, substituting y = -3 back into x = y + 3, we get x = 0.

Therefore, the values of x and y for the given equations are x = 0 and y = -3. So the correct answer is option B) x = -6, y = -3.