Question

X-y=0 x-2y=2 решить систему уравнения

Answer 1

Ответ:

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Объяснение:

Answer 2

To solve the system of equations:

1. x - y = 0
2. x - 2y = 2

We can use either the substitution method or the elimination method. Let's use the elimination method to solve this system:

Step 1: Multiply the first equation by 2 to create opposite coefficients for the y term in both equations.

1. 2(x - y) = 2 * 0 => 2x - 2y = 0

2. x - 2y = 2

Step 2: Now, subtract the second equation from the first to eliminate the y term.

(2x - 2y) - (x - 2y) = 0 - 2

Simplifying:

2x - 2y - x + 2y = -2

Step 3: The y terms cancel out, and we are left with:

2x - x = -2

Simplifying:

x = -2

Step 4: Now that we have the value of x, we can find the value of y by substituting x back into one of the original equations. Let's use the first equation:

x - y = 0

Substitute x = -2:

-2 - y = 0

Step 5: Solve for y:

y = -2

So, the solution to the system of equations is x = -2 and y = -2.