Question

I need help for this math equation can you help

Answer 1

The system of equations to be solved is given to be:

`\begin{gathered} y=3x-5\text{ --------------\lparen1\rparen} \\ y=-6x+4\text{ --------------\lparen2\rparen} \end{gathered}`

Equate y in both equations to each other:

`3x-5=-6x+4`

Solving, we have:

`\begin{gathered} 3x+6x=4+5 \\ 9x=9 \\ x=1 \end{gathered}`

Put x = 1 into the first equation:

`\begin{gathered} y=3(1)-5 \\ y=3-5 \\ y=-2 \end{gathered}`

Therefore, the solution to the system of equations is given to be:

`(x,y)=(1,-2)`

The graph is shown below: