To solve for [tex]\( x \)[/tex] in the equation [tex]\( x - 5 = y \)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
x - 5 = y
\][/tex]
2. Isolate [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], you need to get [tex]\( x \)[/tex] by itself on one side of the equation. You can do this by adding 5 to both sides of the equation. This step is essentially undoing the subtraction of 5:
[tex]\[
x - 5 + 5 = y + 5
\][/tex]
3. Simplify the equation:
- On the left side, [tex]\( -5 \)[/tex] and [tex]\( +5 \)[/tex] cancel each other out, leaving just [tex]\( x \)[/tex].
- The right side is simply [tex]\( y + 5 \)[/tex].
So, simplifying gives:
[tex]\[
x = y + 5
\][/tex]
4. Write the final solution:
[tex]\[
x = y + 5
\][/tex]
Therefore, the solution for the equation [tex]\( x - 5 = y \)[/tex] is [tex]\( x = y + 5 \)[/tex].
