To express the variable [tex]\( x \)[/tex] in terms of [tex]\( y \)[/tex] in the given equation [tex]\( 3x - y = 5 \)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
3x - y = 5
\][/tex]
2. Isolate the term with [tex]\( x \)[/tex]:
To isolate [tex]\( 3x \)[/tex], we need to move [tex]\( y \)[/tex] to the other side of the equation. We can do this by adding [tex]\( y \)[/tex] to both sides:
[tex]\[
3x - y + y = 5 + y
\][/tex]
Simplifying the equation, we get:
[tex]\[
3x = 5 + y
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
Now, to solve for [tex]\( x \)[/tex], we need to divide both sides of the equation by 3:
[tex]\[
x = \frac{5 + y}{3}
\][/tex]
4. Final expression:
Thus, the variable [tex]\( x \)[/tex] expressed in terms of [tex]\( y \)[/tex] is:
[tex]\[
x = \frac{5 + y}{3}
\][/tex]
