Question

X + 2y=-2 3 X - Y = 8

Answer 1

Х + 2у = -2
3х - у = 8 |*2

х + 2у = -2
6х - 2у = 16

х + 2у = -2
7х = 14

х + 2у = -2
х = 2

2у = -4
х = 2

у = -2
х = 2

Answer 2

To solve this system of linear equations:

1. X + 2y = -2
2. 3x - y = 8

You can use either the substitution method or the elimination method. Let's use the elimination method:

First, let's multiply equation (2) by 2 to make the coefficients of y in both equations equal:

2(3x - y) = 2(8) 6x - 2y = 16

Now, the system of equations becomes:

1. X + 2y = -2
2. 6x - 2y = 16

Now, add equation (1) and equation (3) together to eliminate the variable y:

(X + 2y) + (6x - 2y) = (-2) + 16

Simplify the equation:

7x = 14

Now, divide both sides by 7 to solve for x:

x = 14 / 7 x = 2

Now that you have found the value of x, substitute it back into either equation (1) or equation (2) to solve for y. We'll use equation (1):

X + 2y = -2 2 + 2y = -2

Subtract 2 from both sides:

2y = -2 - 2 2y = -4

Now, divide both sides by 2 to solve for y:

2y / 2 = -4 / 2 y = -2

So, the solution to the system of equations is:

x = 2 y = -2