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]