Question

4)2x + y = 10,4x - 7y = 2;-​

Answer 1

Ответ:

x=2

y=6

Объяснение:

$\left \{ {{2x+y=10} \atop {4x-7y=2}} \right. \\\left \{ {{-4x-2y=-20} \atop {4x-7y=2}} \right. \\\\-9x=-18\\x=2\\y=6$

Answer 2

Ответ:

Выводим y: y=10-2x

Полставляем в другое уравнение:

4x-7(10-2x)=2

Решаем:

4x-70+14x-2=0

18x=72

x=72/18=4

x=4

Находим y:

y=10-8=2

y=2

Ответ: (4;2)

Answer 3

To solve this system of linear equations, you can use the method of substitution or elimination. I'll use the elimination method here:

1. Multiply the first equation by 7 and the second equation by 1 to make the coefficients of 'y' in both equations equal:

   Equation 1: 14x + 7y = 70 Equation 2: 4x - 7y = 2

2. Add the two equations to eliminate 'y':

   (14x + 7y) + (4x - 7y) = 70 + 2

   This simplifies to:

   18x = 72

3. Now, divide both sides by 18 to solve for 'x':

   18x / 18 = 72 / 18 x = 4

4. Now that you have found 'x', you can substitute it back into one of the original equations to solve for 'y.' I'll use the first equation:

   2x + y = 10 2(4) + y = 10 8 + y = 10

5. Subtract 8 from both sides to solve for 'y':

   y = 10 - 8 y = 2

So, the solution to the system of equations is:

x = 4 y = 2