Start by solving for the value of x. Solve on paper, then enter your answer on Zearn.

Question

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:

• \( x = 2 \)
• \( y = 5 \)