Question

Start by solving for the value of x. Solve on paper, then enter your answer on Zearn.
y= 2x+1
x= 12−2y
x =

y = ?

Answer 1

To solve for the value of \( x \) using the equations provided, we can substitute one equation into the other.

We have:
1. \( y = 2x + 1 \)
2. \( x = 12 - 2y \)

First, let's express \( y \) in terms of \( x \) using the first equation. We have:

\[
y = 2x + 1
\]

Now we'll substitute \( y \) from the first equation into the second equation:

\[
x = 12 - 2(2x + 1)
\]

Expanding this gives:

\[
x = 12 - 4x - 2
\]

Combining like terms:

\[
x + 4x = 12 - 2
\]

\[
5x = 10
\]

Now, solving for \( x \):

\[
x = \frac{10}{5} = 2
\]

Now we can find \( y \) using the value of \( x \). Substitute \( x \) back into the first equation:

\[
y = 2(2) + 1 = 4 + 1 = 5
\]

So the values we found are:
- \( x = 2 \)
- \( y = 5 \)

Therefore, the final answers are:
- \( x = 2 \)
- \( y = 5 \)