Question

7х-6у=32 7х+5у=230 система уравнений

Answer 1

$-\left \{ {{7x-6y=32} \atop {7x+5y=230}} \right.$
____________
- 6y - 5y = 32 - 230
- 11y = - 198
y = 18
7x - 6 * 18 = 32
7x - 108 = 32
7x = 140
x = 20
 Ответ : (20 ; 18)

Answer 2

To solve the system of equations:

1. 7x - 6y = 32
2. 7x + 5y = 230

There are various methods to solve this system, but one common approach is to use the method of elimination. Here's how you can do it:

Step 1: Multiply the first equation by 5 and the second equation by 6 to make the coefficients of x in both equations equal:

1. 5(7x - 6y) = 5(32) -> 35x - 30y = 160
2. 6(7x + 5y) = 6(230) -> 42x + 30y = 1380

Step 2: Add the two equations to eliminate y and solve for x:

(35x - 30y) + (42x + 30y) = 160 + 1380 77x = 1540

Step 3: Solve for x:

x = 1540 / 77 x = 20

Step 4: Substitute the value of x back into either equation to solve for y. Let's use the first equation:

7x - 6y = 32 7(20) - 6y = 32 140 - 6y = 32

Step 5: Solve for y:

-6y = 32 - 140 -6y = -108 y = (-108) / (-6) y = 18

So, the solution to the system of equations is x = 20 and y = 18.