Question

A system of equations is graphed on the coordinate plane.

y=−2x−4y=2x+4

What is the solution to the system of equations?

Enter the coordinates of the solution in the boxes.
( , )

Answer 1

the solution appears to be (-2,0)

Answer 2

The coordinates of the solution is (-2, 0)

Solution-

System of equations are,

`y=-2x-4` -----------------1

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

Putting the value of y from equation 1 in equation 2,

`\Rightarrow -2x-4=2x+4`

`\Rightarrow 2x+2x=-4-4`

`\Rightarrow 4x=-8`

`\Rightarrow x=-2`

Putting the value of x in equation 1,

`\Rightarrow y=-2(-2)-4`

`\Rightarrow y=4-4`

`\Rightarrow y=0`

Therefore, the coordinates of the solution is (-2, 0)