Algebra Practice Test

To determine the value of y in the equation 2x + 3y = 12 when x = 2, start by substituting 2 for x in the equation.

The equation becomes:

2(2) + 3y = 12.

Calculate 2 times 2, which is 4. The equation now reads:

4 + 3y = 12.

Next, isolate the term with y by subtracting 4 from both sides:

3y = 12 - 4,

3y = 8.

Now, divide both sides of the equation by 3 to solve for y:

y = 8 / 3.

Carrying out this calculation gives:

y = 2.66 (or as a fraction, y = 8/3).

The correct option, however, is not reflected in your answer as the accurate calculation provides a decimal or fraction that does not match any provided choices directly. If the intent was to find an integer solution under specific rounding conditions or assumptions (not specified in the question), then clarity on assumptions could be revisited.

In the context of the options presented, it would be advisable to check the problem setup for alignment with accepted outcomes or reevaluate integer expectations