Respuesta :

Answer:

x=15   and   y= -18

Step-by-step explanation:

[tex]2x + y - 12 = 0[/tex]            Equation 1

[tex]x + y + 3 = 0[/tex]                Equation 2

From two given equations, we can find the value of both x and y by finding the value of one variable from any one of the two equations in terms of other variable and putting it to other equation.

Solving equation 1

Finding 'y' in terms of 'x'           [tex]2x+y=12\\y=12-2x[/tex]                 Equation 3

Putting above equation in equation 3 in 2

                                       [tex]x + y + 3 = 0[/tex]

                                      [tex]x+12-2x+3=0[/tex]

                                         [tex]x=15[/tex]

Putting value of 'x' in equation 3 to find the value of 'y'

                                      [tex]y=12-2(15)\\y=12-30\\y= -18[/tex]