Question

Решите систему уравнений -2x+3y=14 3x-4y= -17 Помогите прошу)

Answer 1

Выражаем х из 1 уравнения:
2x=3y-14; x=1,5y-7;
подставляем во 2:
3(1,5y-7)-4y=-17;
4,5y-21-4y=-17;
0,5y=4;
y=8;
x=12-7=5;
Ответ: (5;8)

Answer 2

System of Equations

To solve the system of equations:

-2x + 3y = 14 (Equation 1) 3x - 4y = -17 (Equation 2)

We can use the method of substitution or elimination to find the values of x and y that satisfy both equations.

Method of Substitution

We can solve Equation 1 for x and substitute it into Equation 2:

-2x + 3y = 14 => -2x = -3y + 14 => x = (3y - 14)/2

Substituting this value of x into Equation 2:

3((3y - 14)/2) - 4y = -17 => (9y - 42)/2 - 4y = -17 => 9y - 42 - 8y = -34 => y - 42 = -34 => y = -34 + 42 => y = 8

Substituting the value of y back into Equation 1 to find x:

-2x + 3(8) = 14 => -2x + 24 = 14 => -2x = 14 - 24 => -2x = -10 => x = -10/-2 => x = 5

Therefore, the solution to the system of equations is x = 5 and y = 8.

Note: The solution provided above is based on the calculations and does not cite any specific source.