Respuesta :

Answer:

The solution is (2, 10)

Step-by-step explanation:

In order to solve this system of equations, multiply the second equation by 2, then add through. This will allow the x terms to cancel.

10x + 3y = 50

-10x - 2y = -40

---------------------

y = 10

Now that we have y, plug in and find x.

-5x - y = -20

-5x - 10 = -20

-5x = -10

x = 2

The linear equation two variables can be solved by various methods one of the methods to solve the linear equations is the substitution method. The solution of the given equation is x=2 and y=10.

The given equations are :

10x+3y=50     .... (1)

-5x-y=-20      ....(2)

Multiply equation (2) by 3 and then add the equation (1) to eliminate the variable y.

10x+3y+3(-5x-y)=50+3*-20

-5x=-10

x=2

Now putting the value of x in equation (1), and solve it further.

10*2+3y=50

3y=30

y=10

Hence, the value of x is 2 and the value of y is 10.

To know more about the solution of the system, please refer to the link:

https://brainly.com/question/18708515

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