Which choice shows the result of substituting 3x - 5 into the second equation for y?

2 (3x - 5) + 3x = 51

2x + 3 (3x - 5) = 51

2 (3x - 5) + 3y = 51

Answer: The answer is (B) 2x + 3 (3x - 5) = 51.

Step-by-step explanation: We are given three options and we are to select which choice shows the result of substituting 3x - 5 into the second equation for y.

So, y = 3x - 5.

Since the standard form of a linear equation i two variables is ax + by = c, so the second equation as given in the options must be of the form 2x + 3y = 51.

If we substitute y = 3x - 5, then this equation becomes

2x + 3 (3x - 5) = 51.

Thus, (B) 2x + 3 (3x - 5) = 51 is the correct option.