Question

4х-7у=2 2х+у=10 решить методом постановки​

Answer 1

Из 2 уравнения следует, что y=10-2x
Подставляем в 1е:
4x-7(10-2x)=2
4x-70+14x=2
18x=72
X=4

Подставляем x.
16-7y=2
7y=14
Y=2

Ответ: x=4 y=2

Answer 2

To solve the system of equations using the method of substitution, we can isolate one of the variables in one of the equations and then substitute its value into the other equation. Let's solve the given system:

1. Start with the first equation: 4x - 7y = 2

2. Isolate y in terms of x: 4x = 2 + 7y 7y = 4x - 2 y = (4x - 2)/7

3. Now, substitute the value of y in terms of x into the second equation: 2x + y = 10 2x + ((4x - 2)/7) = 10

4. Solve for x: To get rid of the fraction, we can multiply everything by 7: 7(2x) + 4x - 2 = 70 14x + 4x - 2 = 70 18x = 70 + 2 18x = 72 x = 72 / 18 x = 4

5. Now that we have the value of x, we can find the value of y using the first equation: 4x - 7y = 2 4(4) - 7y = 2 16 - 7y = 2 -7y = 2 - 16 -7y = -14 y = -14 / -7 y = 2

So, the solution to the system of equations is x = 4 and y = 2.