Question

Using substitution, the value of y is equal to:

2x – 3y = -22
A. y = -8
B. y = 2
C. y = 11
D. No solution

Answer 1

The equation 2x - 3y = -22 cannot be solved for a specific value of y without additional information about x, hence the correct answer is D. No solution.

Step-by-step explanation:

Using substitution to find the value of y in the equation 2x – 3y = -22, we can rearrange the equation to solve for y. The equation becomes:

3y = 2x + 22

Now divide both sides by 3 to solve for y:

y = ⅔x + ⅔

This equation shows that y is dependent on the value of x. Without a specific value for x, we cannot determine a specific value for y. Therefore, the correct answer is D. No solution, since we cannot determine the value of y without additional information about x.