{1/4x-y=5 {1/2x-1/7y=3

Предыдущий
вопрос Следующий
вопрос

To solve this system of equations, we can use the method of substitution or elimination.

Let's solve it using the method of substitution.

First, we solve the first equation for y:
1/4x - y = 5
y = 1/4x - 5

Next, we substitute this expression for y into the second equation:
1/2x - 1/7(1/4x - 5) = 3
1/2x - 1/28x + 5/7 = 3
(7/14)x - (1/28)x + 5/7 = 3
(6/28)x + 5/7 = 3
(6/28)x = 3 - 5/7
(6/28)x = 21/7 - 5/7
(6/28)x = 16/7
x = (16/7) * (28/6)
x = 64/3
x = 21 1/3

Now, we can substitute the value of x back into the first equation to find the value of y:
1/4(21 1/3) - y = 5
(21 1/12) - y = 5
y = 21 1/12 - 5
y = 16 1/12
y = 49/3

Therefore, the solution to the system of equations is x = 21 1/3 and y = 16 1/12 (or 49/3).