Question

Select all of the correct solutions for the equation y = 7x + 2(x + 3).

a) (7, 9)
b) (9, 7)
c) (-7, -7)
d) None of the above

Answer 1

To solve the equation y = 7x + 2(x + 3), distribute the 2 to the terms inside the parentheses, combine like terms, and identify the correct solution.

Step-by-step explanation:

To solve the equation y = 7x + 2(x + 3), we need to distribute the 2 to the terms inside the parentheses. This gives us y = 7x + 2x + 6. Next, we combine like terms by adding the x terms together, which gives us y = 9x + 6. So, the equation y = 7x + 2(x + 3) is equivalent to y = 9x + 6.

Now, to determine which solutions are correct, we substitute the x values from the given options into the equation y = 9x + 6. Only option (b) (9, 7) correctly satisfies the equation. Therefore, the correct solution for the equation y = 7x + 2(x + 3) is (9, 7).