Question

Glven the following system of equations, identify the type of system. y=-×+4 2x+2y= 8

Answer 1

Equivalent system

Step-by-step explanation

`\begin{gathered} y=-x+4\text{ Equation(1)} \\ 2x+2y=8\text{ Equation(2)} \end{gathered}`

Step 1

replace equatin (1) in equatin(2)

`\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}`

This equation happens to have an infinite number of solutions. the two equations are for the same line,it is a equivalent system