Question

Solve the system of equations by graphing.

y=- 4x - 5
Ty=x+5
Use the graphing tool to graph the system​

Answer 1

The given system of equations is
`y=-4x-5` and
`y=x+5`

We need to determine the solution to the system of equations.

Plotting the equation
`y=-4x-5` :

The equation
`y=-4x-5` can be plotted in the graph using the x and y intercepts.

When
`x=0`, the equation becomes
`y=-5`

When
`y=0`, the equation becomes
`x=-1.25`

Hence, joining these coordinates (0,-5) and (-1.25, 0), we get the line for the equation
`y=-4x-5`

Plotting the equation
`y=x+5`:

The equation
`y=x+5` can be plotted in the graph using the x and y intercepts.

When
`x=0`, the equation becomes
`y=5`

When
`y=0`, the equation becomes
`x=-5`

Hence, joining these coordinates (0,5) and (-5,0), we get the line for the equation
`y=x+5`

Solution of the system of equations:

The solution of the system of equations is the point of intersection of these two lines.

Thus, from the graph, the lines intersect at the point (-2,3)

Hence, the solution to the system of equations is (-2,3)