Question

Решить систему уравнений

Answer 1

Решил )эт изи чувак

Answer 2

Solving a System of Equations

To solve a system of equations, we need to find the values of the variables that satisfy both equations simultaneously. Let's solve the system of equations you provided:

Equation 1: x - 5xy + 4y = 0Equation 2: 2x - y = 31 To solve this system, we can use various methods such as substitution, elimination, or matrix methods. Let's use the substitution method:

1. Solve Equation 2 for x: 2x - y = 31 Solving for x, we get: 2x = y + 31 x = (y + 31)/2

2. Substitute the value of x in Equation 1: x - 5xy + 4y = 0 Substituting (y + 31)/2 for x, we get: (y + 31)/2 - 5(y + 31)/2 * y + 4y = 0

Simplifying the equation, we have: (y + 31 - 5(y + 31)y + 8y = 0 (y + 31 - 5y - 155y + 8y = 0 (y + 31 - 155y + 8y = 0 -146y + 39 = 0 -146y = -39 y = -39/-146 y = 39/146 y = 0.2671

3. Substitute the value of y back into Equation 2 to find x: 2x - y = 31 Substituting 0.2671 for y, we get: 2x - 0.2671 = 31 2x = 31 + 0.2671 2x = 31.2671 x = 31.2671/2 x = 15.6336

Therefore, the solution to the system of equations is x = 15.6336 and y = 0.2671.

Please note that the solution is rounded to four decimal places for simplicity.

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