4х-3y=122x+y=45y-2x=1x-6y=4

Предыдущий
вопрос Следующий
вопрос

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

1) We will use the method of substitution to solve the system of equations:
4x - 3y = 12 (equation 1)
x + y = 45 (equation 2)
y - 2x = 1 (equation 3)
x - 6y = 4 (equation 4)

From equation 2, we can express x in terms of y:
x = 45 - y

Substitute x = 45 - y into equations 1, 3, and 4:

4(45 - y) - 3y = 12
180 - 4y - 3y = 12
-7y = -168
y = 24

x = 45 - 24 = 21

Therefore, the solution is x = 21, y = 24.

2) Now let's check the solution in the remaining equations:

x + y = 45
21 + 24 = 45, the equation is satisfied.

y - 2x = 1
24 - 2(21) = 1
24 - 42 = 1
-18 = 1, this equation is not satisfied.

x - 6y = 4
21 - 6(24) = 4
21 - 144 = 4
-123 = 4, this equation is also not satisfied.

Therefore, the solution x = 21, y = 24 does not satisfy all the equations, so there may be an error in the calculations.