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Graph the equations to solve the system.
y = -2x − 3
y=x+6
Click on the correct answer.
solutions: all
numbers on the line
one solution: (-3,3}
no solution: {
one solution: (0,6}

Respuesta :

Answer:

[tex](x,y)=(-3,3)[/tex]

Step-by-step explanation:

Given

  • [1] [tex]y=x+6[/tex]
  • [2] [tex]y=-2x-3[/tex]

If we subtract equation [2] from equation [1] we will be left with an equation in only 1 unknown [tex](x)[/tex]

[3] [tex]=3x+9[/tex]

We can now split the variable term and the constant (one on each side of the equation by subtracting [tex]3x[/tex] rom both sides.

[4] [tex]-3x=9[/tex]

Dividing by [tex](-3)[/tex] leaves just the variable x equal to a constant

[5]   [tex]x=-3[/tex]

To find the value of y substitute this value [tex](-3)[/tex]  in place of x in one of the original equations. (I will use equation [1])

[6]  [tex]y=(-3)+6=3[/tex]

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