Question

Continue solving the equation to get x by itself. What is the value of x? You can solve on paper and enter your answer on Zearn, or show your work below.
y= 6−3x
y= x−2
6 − 3x
=
x − 2
+
3x
+
3x

6
=
4x−2

x
=

Answer 1

To solve the equations for \( x \), we will start by setting the two equations equal to each other, since they both equal \( y \):

1. \( 6 - 3x = x - 2 \)

Now we'll solve for \( x \).

**Step 1:** Add \( 3x \) to both sides:

\[
6 = x - 2 + 3x
\]

This simplifies to:

\[
6 = 4x - 2
\]

**Step 2:** Add \( 2 \) to both sides:

\[
6 + 2 = 4x
\]

\[
8 = 4x
\]

**Step 3:** Divide both sides by \( 4 \):

\[
x = \frac{8}{4} = 2
\]

So the value of \( x \) is:

\[
\boxed{2}
\]