Question

Two of the solutions for the equation 2x + 3y = 12 are (9, ____).

A) 4
B) -4
C) 4.4
D) -4.4

Answer 1

After substituting x = 9 into the equation 2x + 3y = 12 and solving for y, we find that y = -2. However, this solution does not match any of the options provided, suggesting a mistake in the options.

Step-by-step explanation:

To find the missing value that completes the solution (9, ____), we can substitute x = 9 into the equation 2x + 3y = 12 and solve for y.

1. Start by substituting 9 for x in the equation, which results in 2(9) + 3y = 12.
2. This simplifies to 18 + 3y = 12.
3. Next, subtract 18 from both sides to isolate the term containing y: 3y = 12 - 18, which results in 3y = -6.
4. Finally, divide both sides by 3 to solve for y: y = -6 / 3.
5. The solution is y = -2.

None of the provided options A) 4, B) -4, C) 4.4, or D) -4.4 match our result of -2. Therefore, there seems to be a mistake in the options provided.