Question

Solve the following system of equations graphically on the set of axes below. y=x-4 y=-1\2x-7

Answer 1

Given

`\begin{gathered} y=x-4 \\ y=-(1)/(2)x-7 \end{gathered}`

To solve the equations graphically.

Step-by-step explanation:

It is given that,

`\begin{gathered} y=x-4 \\ y=-(1)/(2)x-7 \end{gathered}`

For x=0,

`\begin{gathered} y=x-4,y=-(1)/(2)x-7 \\ y=0-4,y=-(1)/(2)(0)-7 \\ y=-4,y=-7 \end{gathered}`

Also, for x=-2,

`\begin{gathered} y=x-4,y=-(1)/(2)x-7 \\ y=-2-4,y=-(1)/(2)(-2)-7 \\ y=-6,y=1-7 \\ y=-6,y=-6 \\ \end{gathered}`

Also, for x=2.

`\begin{gathered} y=x-4,y=-(1)/(2)x-7 \\ y=2-4,y=-(1)/(2)(2)-7 \\ y=-2,y=-1-7 \\ y=-2,y=-8 \end{gathered}`

Hence, (-2,-6),(0,-4),(2,-2) are the coordinates of the equation y=x-4.

Also, (-2,-6),(0,-7),(2,-8) are the coordinates of the equation, y=-1/2x-7.

Therefore, the graph of the given equations are,

Final result: Hence, (-2,-6) is the solution of the given system of equations.