Question

Помогите плиз ! Решите систему уравнений : {8х-9у-21=0 {3х-2у-12=0 Смотреть ответ Срочно !!!!!!!! asem44 asem44 Надеюсь помаглаааа.....

Answer 1

#### System of Equations Solution To solve the system of equations: ``` 8x - 9y - 21 = 0 3x - 2y - 12 = 0 ``` we can use the method of substitution or elimination. Let's use the method of substitution. 1. Solve one equation for one variable in terms of the other variable. Let's solve the second equation for x: ``` 3x - 2y - 12 = 0 3x = 2y + 12 x = (2y + 12) / 3 ``` 2. Substitute the expression for x into the other equation: ``` 8x - 9y - 21 = 0 8((2y + 12) / 3) - 9y - 21 = 0 ``` Simplifying this equation will give us the value of y. Let's do the calculations: ``` (16y + 96) / 3 - 9y - 21 = 0 16y + 96 - 27y - 63 = 0 -11y + 33 = 0 -11y = -33 y = -33 / -11 y = 3 ``` 3. Substitute the value of y back into the expression for x: ``` x = (2y + 12) / 3 x = (2 * 3 + 12) / 3 x = (6 + 12) / 3 x = 18 / 3 x = 6 ``` Therefore, the solution to the system of equations is x = 6 and y = 3. **Note:** The solution provided is based on the given system of equations. Please double-check your equations to ensure accuracy. I hope this helps! Let me know if you have any further questions.