Question

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

Answer 1

Given

$\begin{gathered} y=x-4 \\ y=-\frac{1}{2}x-7 \end{gathered}$

To solve the equations graphically.

Explanation:

It is given that,

$\begin{gathered} y=x-4 \\ y=-\frac{1}{2}x-7 \end{gathered}$

For x=0,

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

Also, for x=-2,

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

Also, for x=2.

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

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.