Question

2x-7y=1 21y-6x=-3 система

Answer 1

Объяснение:

1) 2*x - 7*y = 1

2) 21*y - 6*x = - 3

Умножаем ур. 1) на -3 и получаем

3) -6*x + 21*y = - 3

Это два одинаковых уравнения - множество решений - ответ

Answer 2

To solve the system of equations:

1. 2x - 7y = 1
2. 21y - 6x = -3

There are several methods to solve a system of linear equations, such as substitution, elimination, or using matrices. Let's use the elimination method to find the values of x and y.

Step 1: Multiply both sides of the second equation by 2 to make the coefficients of x in both equations equal.

2 * (21y - 6x) = 2 * (-3) 42y - 12x = -6

Step 2: Now, we can add the two equations together to eliminate the term with x.

(2x - 7y) + (42y - 12x) = 1 - 6

Step 3: Simplify the equation:

-5y = -5

Step 4: Divide both sides by -5 to isolate y:

y = 1

Step 5: Now that we have the value of y, we can substitute it back into one of the original equations to find x. Let's use the first equation:

2x - 7y = 1 2x - 7(1) = 1 2x - 7 = 1

Step 6: Isolate x:

2x = 1 + 7 2x = 8 x = 4

So, the solution to the system of equations is x = 4 and y = 1.