Question

Реши систему уравнений. {5x−y=−5 5x+y=2 Смотреть ответ vitaslipcenko9 vitaslipcenko9 Ответ: (-0,3;3,5) Объяснение: 5х-у=-5. у=2-5х=2-(-1,5)=3,5 + 5х+у=2. 5•(-0,3)+3,5=2 10х=-5+2. -1,5+3,5=2 10х=-3. 2=2 х= -3/10=-0,3 Пожалуйста. Не знаю як правельно, просто я з України . Спасибо* что помог срасибо

Answer 1

Solving the System of Equations

To solve the system of equations:

5x - y = -5
5x + y = 2

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

Adding the two equations together, we can eliminate the variable "y":

(5x - y) + (5x + y) = -5 + 2
10x = -3

Dividing both sides of the equation by 10, we find:

x = -3/10 = -0.3

Now, we substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:

5(-0.3) - y = -5
-1.5 - y = -5

Adding 1.5 to both sides of the equation, we get:

-y = -5 + 1.5
-y = -3.5

Multiplying both sides of the equation by -1, we find:

y = 3.5

Therefore, the solution to the system of equations is x = -0.3 and y = 3.5.

Please note that the solution provided is based on the given system of equations.