Solve x+y=-1
X-y=-7
Solve
x+y=-1
x -y =- 7
2x= -8
x = -4
-4 + y = -1
-4+4 = -1+ 4
y = 3
(-4 , 3)
To solve the system of equations:
x + y = -1 ...........(Equation 1)
x - y = -7 ...........(Equation 2)
We will use the method of elimination to solve these equations.
Step 1: Add the two equations together to eliminate the y terms:
(Equation 1) + (Equation 2):
(x + y) + (x - y) = (-1) + (-7)
2x = -8
Step 2: Divide both sides of the equation by 2 to solve for x:
2x/2 = -8/2
x = -4
Step 3: Substitute the value of x back into one of the original equations (Equation 1 or Equation 2) to solve for y:
Using Equation 1: x + y = -1
-4 + y = -1
y = -1 + 4
y = 3
Therefore, the solution to the system of equations is x = -4 and y = 3.