Question

Which of these shows the result of using the first equation to substitute for y in the second equation, then combining like terms?
y=2x
2x + 3y = 16
Answer: choose

Answer 1

To substitute \( y = 2x \) into the second equation \( 2x + 3y = 16 \) and combine like terms, follow these steps:

1. Start with the second equation:
\[
2x + 3y = 16
\]

2. Substitute \( y = 2x \) into the equation:
\[
2x + 3(2x) = 16
\]

3. Simplify the equation:
\[
2x + 6x = 16
\]
which combines to:
\[
8x = 16
\]

Thus, the result of substituting for \( y \) and combining like terms is:
\[
8x = 16
\]