Answer:
[tex]x=-3 \\and\\ y=2[/tex]
Step-by-step explanation:
[tex]x + y = -1[/tex] Equation:1
[tex]4x - 2y = -16[/tex] Equation:2
Solving Equation:1
[tex]x+y=-1[/tex]
Subtracting 'y' from both the sides:
[tex]x+y-y=-1-y\\\\x=-1-y[/tex]
Putting 'x' in Equation :2
[tex]4(-1-y)-2y=-16\\\\-4-4y-2y=-16\\\\-4-6y=-16[/tex]
Adding '4' both the sides
[tex]-6y=-16+4\\\\-6y=-12\\\\y=-12/-6\\\\y=2[/tex]
Putting the value of 'y' in equation:1
[tex]x+y=-1[/tex]
[tex]x+(2)=-1\\\\x=-1-2\\\\x=-3\\[/tex]
The solution is:
[tex]x=-3 \\and\\ y=2[/tex]
