To solve the equation [tex]\( y = x + 4 \)[/tex] for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. Let's go through the steps:
1. Start with the original equation:
[tex]\[
y = x + 4
\][/tex]
2. Our goal is to isolate [tex]\( x \)[/tex]. To do this, we need to move the constant term (4) from the right side of the equation to the left side. We can do this by subtracting 4 from both sides of the equation:
[tex]\[
y - 4 = x + 4 - 4
\][/tex]
3. Simplify the right side by performing the subtraction:
[tex]\[
y - 4 = x
\][/tex]
4. This can be rewritten as:
[tex]\[
x = y - 4
\][/tex]
So, the solution to the equation [tex]\( y = x + 4 \)[/tex] is:
[tex]\[
x = y - 4
\][/tex]
Among the given options, you can see that the correct solution is:
[tex]\[
x = y - 4
\][/tex]
