Question

Given the equations below, match the correct answer from the drop down with each number. 1.y=-3x+6y=x+22. y=2x+6y=2x-1 3.y= -x+42y=-2x+8

Answer 1

`\begin{gathered} y=-x+4 \\ \text{Multiply both sides by 2:} \\ 2\cdot y=2(-x+4) \\ 2y=-2x+8 \end{gathered}`
`\begin{gathered} y=2x+6\text{ (1)} \\ y=2x-1\text{ (2)} \\ (1)-(2) \\ 0=7 \end{gathered}`
`\begin{gathered} y=-3x+6\text{ (1)} \\ y=x+2\text{ (2)} \\ (1)-(2) \\ 0=-4x+4 \\ x=1 \\ y=3 \end{gathered}`