Solve for each system and equations.
y=-x-2
y=3x+2
set -x-2=3x+2
solve for x.
thanx i was minusing 2 instead of adding two
thanx alot
To solve the given system of equations, you need to find the values of x and y that satisfy both equations simultaneously.
Starting with the first equation: y = -x - 2
We can substitute this expression for y in the second equation:
- x - 2 = 3x + 2
Now, we can solve this equation for x.
To do so, we can start by isolating the variable x on one side of the equation. We can achieve this by adding x to both sides:
- x - 2 + x = 3x + 2 + x
Simplifying:
-2 = 4x + 2
Next, subtract 2 from both sides:
-2 - 2 = 4x + 2 - 2
Simplifying:
-4 = 4x
Now, divide both sides of the equation by 4 to solve for x:
-4/4 = 4x/4
Simplifying:
-1 = x
Therefore, the solution for x is -1.
To find the corresponding value of y, we can substitute the value of x back into one of the original equations. Let's use the first equation:
y = -x - 2
Substituting x = -1:
y = -(-1) - 2
y = 1 - 2
y = -1
Therefore, the solution for the system of equations is x = -1 and y = -1.
I hope this explanation helps!