Question

X-2y=-2,2x + y = 6?​

Answer 1

Х-2у=-2
2х+у=6. *2

х-2у=-2
4х+2у=12

5х=10
х-2у=-2

х=2
у=2

Answer 2

To solve the system of equations:

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

You can use the method of substitution or elimination. I'll show you how to solve it using the elimination method:

First, we can multiply the second equation by 2 to make it easier to eliminate one of the variables:

1. X - 2y = -2
2. 4x + 2y = 12

Now, add the two equations together to eliminate the variable "y":

(X - 2y) + (4x + 2y) = (-2) + 12

Combine like terms:

X + 4x = 10

Now, add the x terms:

5x = 10

Next, divide both sides by 5 to isolate x:

5x / 5 = 10 / 5

x = 2

Now that we have found the value of x, we can substitute it back into either of the original equations to solve for y. Let's use the first equation:

X - 2y = -2

2 - 2y = -2

Now, add 2 to both sides:

-2y = 0

Finally, divide by -2 to solve for y:

y = 0

So, the solution to the system of equations is:

x = 2 y = 0