Solve the system.
x + y = -1
3x - y = 5
I apologize for the mistake. Let's solve the system correctly:
We'll use the method of elimination to solve the system:
To eliminate the variable y, we'll multiply the first equation by -1 and then add the two equations together.
-1(x + y) = -1(-1)
- x - y = 1
3x - y = 5
Now, add the two equations:
(-x - y) + (3x - y) = 1 + 5
2x - 2y = 6
Simplify the equation:
2x - 2y = 6
Divide by 2:
x - y = 3
Now, we have a new system of equations:
x - y = 3
3x - y = 5
We can solve this system using the method of substitution:
Solve the first equation for x:
x = 3 + y
Substitute this expression for x in the second equation:
3(3 + y) - y = 5
9 + 3y - y = 5
2y = -4
y = -2
Substitute the value of y back into the first equation to solve for x:
x - (-2) = 3
x + 2 = 3
x = 1
The solution to the system is x = 1, y = -2.
You're welcome! I'm glad I could help. If you have any more questions, feel free to ask.
To solve the system, we can use the method of substitution or elimination.
Using the method of substitution:
1) Solve the first equation for x:
x = -1 - y
2) Substitute this expression for x in the second equation:
3(-1 - y) - y = 5
-3 - 3y - y = 5
-4y - 3 = 5
-4y = 8
y = -2
3) Substitute the value of y back into the first equation to solve for x:
x + (-2) = -1
x - 2 = -1
x = 1
The solution to the system is x = 1, y = -2.