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!