Answer :

To solve for [tex]\( x \)[/tex] in the equation [tex]\( z = 7x - y \)[/tex], we need to isolate [tex]\( x \)[/tex]. Follow these steps:

1. Start with the given equation:
[tex]\[ z = 7x - y \][/tex]

2. To isolate [tex]\( x \)[/tex], first add [tex]\( y \)[/tex] to both sides of the equation:
[tex]\[ z + y = 7x \][/tex]

3. Next, divide both sides by 7 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{z + y}{7} \][/tex]

Now, suppose we are given specific values for [tex]\( z \)[/tex] and [tex]\( y \)[/tex]. For demonstration purposes, let's take [tex]\( z = 14 \)[/tex] and [tex]\( y = 7 \)[/tex].

4. Substitute these values into the equation:
[tex]\[ x = \frac{14 + 7}{7} \][/tex]

5. Simplify the expression inside the fraction:
[tex]\[ x = \frac{21}{7} \][/tex]

6. Finally, perform the division:
[tex]\[ x = 3 \][/tex]

Therefore, the solution for [tex]\( x \)[/tex] is:
[tex]\[ x = 3 \][/tex]