Question

СРОЧНО!!!Розв'яжіть систему рівнянь:{6x-5y=-53{7x+4y=7​ Смотреть ответ zartkeevs zartkeevs Объяснение:вот ответ у=-14:4=-3,5у=-3,5 спасибо огромное!!!

Answer 1

System of Equations Solution

To solve the system of equations:

6x - 5y = -53
7x + 4y = 7

we can use the method of substitution or elimination. Let's use the method of substitution.

1. Solve the first equation for x in terms of y: ``` 6x - 5y = -53 6x = 5y - 53 x = (5y - 53) / 6 ```

2. Substitute the expression for x into the second equation: ``` 7x + 4y = 7 7((5y - 53) / 6) + 4y = 7 ```

3. Simplify and solve for y: ``` (35y - 371) / 6 + 4y = 7 35y - 371 + 24y = 42 59y - 371 = 42 59y = 413 y = 413 / 59 y ≈ 7 ```

4. Substitute the value of y back into the expression for x: ``` x = (5y - 53) / 6 x = (5 * 7 - 53) / 6 x = (35 - 53) / 6 x = -18 / 6 x = -3 ```

Therefore, the solution to the system of equations is x = -3 and y ≈ 7.

Please note that the solution is approximate due to rounding in the final step.

I hope this helps! Let me know if you have any further questions.