Question

Реши системуx+2y=1x+3y+2z=1y-2z=1решите пожалуйста быстро

Answer 1

Solving the System of Equations

To solve the system of equations:

x + 2y = 1 (Equation 1) x + 3y + 2z = 1 (Equation 2) y - 2z = 1 (Equation 3)

We can use the method of substitution or elimination. Let's use the method of substitution.

From Equation 1, we can express x in terms of y: x = 1 - 2y (Equation 4)

Substituting Equation 4 into Equation 2, we get: (1 - 2y) + 3y + 2z = 1 Simplifying, we have: -y + 2z = 0 (Equation 5)

Now, we can express y in terms of z from Equation 3: y = 1 + 2z (Equation 6)

Substituting Equation 6 into Equation 5, we get: -(1 + 2z) + 2z = 0 Simplifying, we have: -1 - 2z + 2z = 0 -1 = 0

It seems that there is no solution to this system of equations. The equations are inconsistent and do not have a common solution.

Please let me know if there's anything else I can help you with!