Answer:
[tex]\begin{gathered} \text{ One solution:} \\ x=\frac{3}{5} \end{gathered}[/tex]Step-by-step explanation:
Given the following system of equations:
[tex]\begin{gathered} y=5x-2\text{ (1)} \\ y=-5x+4\text{ (2)} \end{gathered}[/tex]By the substitution method, substitute (2) into equation (1):
[tex]\begin{gathered} -5x+4=5x-2 \\ 4+2=5x+5x \\ 6=10x \\ x=\frac{6}{10} \\ x=\frac{3}{5} \end{gathered}[/tex]