Question

{7х-5у=-2{х+у=1 3/35​ Смотреть ответ Участник Знаний Участник Знаний x = 2/7 y = 0,8 Объяснение: 7 (1 3/35 - y) - 5y = -2 7 3/5 (21/35) -7y -5y = -2 7,6 - 12y = -2 12y = -9,6 : 12 y = 0,8 x = 1 3/35 - 0,8 = 20/70 = 2/7 x = 2/7

Answer 1

Solving the System of Equations

To solve the system of equations:

7x - 5y = -2
x + y = 1 + 3/35

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

First, let's solve the second equation for x:

x = 1 + 3/35 - y

Now, substitute this value of x into the first equation:

7(1 + 3/35 - y) - 5y = -2

Simplifying the equation:

7 + 21/35 - 7y - 5y = -2
7 + 3/5 - 12y = -2

Combining like terms:

7 + 3/5 = 12y - 2
7 + 3/5 + 2 = 12y

Simplifying further:

7 + 3/5 + 10/5 = 12y
7 + 13/5 = 12y

Finding a common denominator:

35/5 + 13/5 = 12y
48/5 = 12y

Dividing both sides by 12:

48/5 / 12 = y
4/5 = y

Now, substitute the value of y back into the second equation to find x:

x = 1 + 3/35 - 4/5

Simplifying the equation:

x = 1 + 3/35 - 28/35

Combining like terms:

x = 1 - 25/35

Simplifying further:

x = 1 - 5/7

Finding a common denominator:

x = 7/7 - 5/7

Simplifying:

x = 2/7

Therefore, the solution to the system of equations is:

x = 2/7
y = 4/5

Explanation:

By solving the system of equations, we found that x = 2/7 and y = 4/5. These values satisfy both equations in the system.