Answer:
[tex]x=6.25[/tex]
Explanation: We need to find the value of x for the following linear equation and the given value of y:
[tex]\begin{gathered} y(x)=2x-2.5 \\ \text{for} \\ y\text{ =10} \end{gathered}[/tex]Putting all this together and solving for x gives us:
[tex]\begin{gathered} y(x)=2x-2.5 \\ y=10 \\ \therefore\rightarrow \\ 10=2x-2.5\rightarrow(1) \\ \\ \\ \end{gathered}[/tex]Simplifying (1) further gives us:
[tex]\begin{gathered} 10=2x-2.5 \\ 10=2x-2.5\rightarrow2x=10+2.5=12.5 \\ x=\frac{12.5}{2}=6.25 \\ \therefore\rightarrow \\ x=6.25 \end{gathered}[/tex]