Equivalent system
Explanation
[tex]\begin{gathered} y=-x+4\text{ Equation(1)} \\ 2x+2y=8\text{ Equation(2)} \end{gathered}[/tex]
Step 1
replace equatin (1) in equatin(2)
[tex]\begin{gathered} 2x+2y=8 \\ 2x+2(-x+4)=8 \\ 2x-2x+8=8 \\ 8=8 \\ \text{subtract 8 in both sides} \\ 8-8=8-8 \\ 0=0 \end{gathered}[/tex]
This equation happens to have an infinite number of solutions. the two equations are for the same line,it is a equivalent system
