how do you solve the system -x-6y=13 and -x+y=-1
We can use substitution method to solve the system of equations. We begin by solving one of the equations for one of the variables.
From the second equation, we have:
-x + y = -1
which means:
y = x - 1
Now we can substitute this expression for y into the first equation:
-x - 6y = 13
to get:
-x - 6(x - 1) = 13
Simplifying this, we get:
-7x + 6 = 13
-7x = 7
x = -1
Now that we have found x, we can use the equation y = x - 1 (which we obtained earlier) to find y:
y = -1 - 1 = -2
So the solution to the system of equations is (x,y) = (-1,-2).
I would just subtract them:
-7y = 14
y = -2
now sub back into -x+y=-1
-x -2 = -1
x = -1
x = -1, y = -2