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.
( , )

A system of equations is graphed on the coordinate plane y2x4y2x4 What is the solution to the system of equations Enter the coordinates of the solution in the b class=

Respuesta :

the solution appears to be (-2,0)

Answer-

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

Solution-

System of equations are,

[tex]y=-2x-4[/tex]   -----------------1

[tex]y=2x+4[/tex]   -----------------2

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

[tex]\Rightarrow -2x-4=2x+4[/tex]

[tex]\Rightarrow 2x+2x=-4-4[/tex]

[tex]\Rightarrow 4x=-8[/tex]

[tex]\Rightarrow x=-2[/tex]

Putting the value of x in equation 1,

[tex]\Rightarrow y=-2(-2)-4[/tex]

[tex]\Rightarrow y=4-4[/tex]

[tex]\Rightarrow y=0[/tex]

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