Question

Решите линейную систему уравнений: а)2х+3у=-1 3х+5у=-2 б)х+у=5 х-у=7

Answer 1

(x;y) (1;-1)
Всегда Пожалуйста!

Answer 2

a)

To solve the system of linear equations:

2x + 3y = -1 3x + 5y = -2

We can use the method of elimination, where we add or subtract the equations to eliminate one of the variables.

Multiplying the first equation by 5 and the second equation by -3:

10x + 15y = -5 -9x - 15y = 6

Adding these equations together:

x = 1

Substituting x = 1 into the first equation:

2(1) + 3y = -1

3y = -3

y = -1

So the solution to the system is (x, y) = (1, -1).

b)

To solve the system of linear equations:

x + y = 5 x - y = 7

We can again use the method of elimination, where we add or subtract the equations to eliminate one of the variables.

Adding the equations together:

2x = 12

x = 6

Substituting x = 6 into either equation:

6 + y = 5

y = -1

So the solution to the system is (x, y) = (6, -1).