Question

Solve the system by graphing {x-y= -4 x+y= -2 Is the ordered pair (-3,1)?

Answer 1

Given:

`x-y=-4`
`x+y=-2`

Required:

We need to find the solution to the given equation by graphing.

Step-by-step explanation:

Consider the equation.

`x-y=-4`

Set x =0 and substitute in the equation.

`0-y=-4`

Multiply both sides by (-1).

`-(-1)y=-4(-1)`
`y=4`

We get the point (0,4).

Set y =0 and substitute in the equation.

`x-(0)=-4`
`x=-4`

We get the points (-4,0).

Mark the points on the graph and join them by ray.

Consider the equation.

`x+y=-2`

Set x =0 and substitute in the equation.

`0+y=-2`

`y=-2`

We get the point (0,-2).

Set y =0 and substitute in the equation.

`x+(0)=-2`
`x=-2`

We get the points (-2,0).

Mark the points on the graph and join them by ray.

Recall that the intersection point of the line is the solution of the given system of equations.

Both lines intersect at (-3,1).

Final answer:

`(-3,1)`