Question

8.x – 3y - 7=0,3.x + y - 9 = 0;​

Answer 1

Ответ:

х=2 у=3

Пошаговое объяснение:

у=9-3х

Подставляем в первое уравнение

8х-3*(9-3х)-7=0

8х-27+9х-7=0

17х= 34

х=34:17

х=2

у=9-3х=9-3*2=3

Answer 2

To solve the system of equations:

1. 8x - 3y - 7 = 0
2. 3x + y - 9 = 0

There are several methods to solve this system of equations, but we'll use the method of substitution.

Step 1: Solve one of the equations for one variable in terms of the other.

Let's solve Equation (1) for y in terms of x: 8x - 3y - 7 = 0 => 8x - 7 = 3y => 3y = 8x - 7 => y = (8x - 7)/3

Step 2: Substitute the value of y from Equation (1) into Equation (2):

3x + y - 9 = 0 => 3x + (8x - 7)/3 - 9 = 0 (substituting y = (8x - 7)/3 from Equation (1)) => 3x + 8x - 7 - 27 = 0 (multiplying through by 3 to eliminate the fraction) => 11x - 34 = 0

Step 3: Solve for x:

11x = 34 => x = 34/11 => x ≈ 3.09

Step 4: Substitute the value of x back into Equation (1) to find y:

y = (8x - 7)/3 => y = (8 * 3.09 - 7)/3 => y ≈ 2.27

So, the solution to the system of equations is approximately x ≈ 3.09 and y ≈ 2.27.