Answer:
[tex]x=7[/tex]Step-by-step explanation:
Solve the following system of equations.
[tex]\begin{gathered} y=x-10\text{ (1)} \\ 5x+y=32\text{ (2)} \end{gathered}[/tex]Notice that ''y'' is isolated in equation (1). Then, substitute it into equation (2). Solve it using inverse operations to solve equations:
[tex]\begin{gathered} 5x+(x-10)=32 \\ 5x+x-10=32 \\ 6x=32+10 \\ x=\frac{42}{6} \\ x=7 \end{gathered}[/tex]