Question

X+y=-2 --------- -x+3y=6

Answer 1

Х+у=-2
-х+3у=6

х=-2-у
-(-2-у)+3у=6

х= -2-у
2+у+3у=6

х= -2-у
4у=4

у=1
х= -2-1

у=1
х= -3

Answer 2

To solve the system of equations:

1. x + y = -2
2. -x + 3y = 6

We can use the method of substitution or elimination. Let's use the elimination method to find the values of x and y:

Step 1: Add both equations to eliminate x. (x + y) + (-x + 3y) = -2 + 6 y + 3y = 4 4y = 4

Step 2: Solve for y. y = 4/4 y = 1

Step 3: Substitute the value of y into either equation 1 or 2 to find x. Let's use equation 1: x + 1 = -2

Step 4: Solve for x. x = -2 - 1 x = -3

So the solution to the system of equations is x = -3 and y = 1.