Question

Решите систему уравнений {-3x+7y=-40 ;{3x+y=-16​ Смотреть ответ maks78559 maks78559 )))))))))))))))))))))) >) го а можешь ещё решить? ты шекарен

Answer 1

#### System of Equations Solution: To solve the system of equations: ``` -3x + 7y = -40 3x + y = -16 ``` We can use the method of elimination or substitution. Let's solve it using the elimination method. First, we'll multiply the second equation by 3 to make the coefficients of x in both equations cancel each other out: ``` -3x + 7y = -40 9x + 3y = -48 ``` Now, we'll add the two equations together: ``` (-3x + 7y) + (9x + 3y) = (-40) + (-48) 6y = -88 ``` Dividing both sides of the equation by 6, we get: ``` y = -88/6 ``` Simplifying the fraction, we have: ``` y = -44/3 ``` Now, we can substitute this value of y back into one of the original equations to solve for x. Let's use the second equation: ``` 3x + (-44/3) = -16 ``` Multiplying both sides of the equation by 3 to eliminate the fraction, we get: ``` 9x - 44 = -48 ``` Adding 44 to both sides of the equation, we have: ``` 9x = -48 + 44 9x = -4 ``` Dividing both sides of the equation by 9, we get: ``` x = -4/9 ``` Therefore, the solution to the system of equations is: ``` x = -4/9 y = -44/3 ``` **Note:** The solution has been calculated using the elimination method.