Question

Чему равны коэфициенты a и b если известночто пара чисел (-1; -2) являетсярешением системы уравнений {5 x+ay=-1 и {bx-4y=5

Answer 1

5х + ау = - 1
bx - 4y = 5
( - 1 ; - 2 )
••••••••••••••
- 5 - 2a = - 1
- b + 8 = 5
2a = - 4
a = - 2
b = 8 - 5
b = 3
Ответ ( - 2 ; 3 )

Answer 2

Solving the System of Equations

To find the values of the coefficients a and b in the system of equations, we can use the given solution (-1, -2) and solve for a and b.

The given system of equations is: 1. 5 + x + ay = -1 2. bx - 4y = 5

Finding the Coefficients

Using the given solution (-1, -2), we can substitute these values into the equations and solve for a and b.

Substituting (-1, -2) into the first equation: 5 + (-1) + a(-2) = -1 4 - 2a = -1 -2a = -1 - 4 -2a = -5 a = 5/2 Substituting (-1, -2) into the second equation: b(-1) - 4(-2) = 5 -b + 8 = 5 -b = 5 - 8 -b = -3 b = 3

Conclusion

The coefficients a and b in the given system of equations are: - a = 5/2 - b = 3