Question

1)x + 20 y=37,5y + x=7;​

Answer 1

Ответ:  x= -3;  y=2.

Объяснение:;

Решаем систему

x + 20y=37,  (1)

5y + x=7        (2)

Из (1):  х=37-20у. Подставляем в (2):

5у+37-20у=7;

-15y=-30;

y=2;  Подставим в (2):

5*2+х=7;

x=7-10;

x=-3.

Answer 2

To solve this system of linear equations for the variables x and y, you can use the method of substitution or elimination. Let's use the elimination method:

1. Start with the given equations:

   • x + 20y = 37.5
   • x + 7y = 7

2. Multiply the second equation by -1 to make it easier to eliminate x: -x - 7y = -7

3. Now, add the modified second equation to the first equation to eliminate x: (x + 20y) + (-x - 7y) = 37.5 - 7 20y - 7y = 30.5

4. Simplify the equation: 13y = 30.5

5. Divide both sides by 13 to solve for y: y = 30.5 / 13 y ≈ 2.3462

6. Now that you have the value of y, you can substitute it back into either of the original equations to find the value of x. Let's use the second equation: x + 7(2.3462) = 7 x + 16.4244 = 7

7. Subtract 16.4244 from both sides to solve for x: x = 7 - 16.4244 x ≈ -9.4244

So, the solution to the system of equations is approximately: x ≈ -9.4244 y ≈ 2.3462