What is the solution to the system of equations? y=1/3x-10 2x+y=4

The solution for the given system of equation is: (21, -3)

Step-by-step explanation:

Given the system of equation:

             .....[1]

                           .....[2]

We can write [2] as:

                           ......[3]

Equate [2] and [3] we have;

add 10 to both sides we get;

Add 2x to both sides we get;

Combine like terms;

Divide both sides by 7 we get;

Multiply both sides by 3 we get;

or

x =6

Substitute the value of x in [1] we have;

⇒

Therefore, the solution for the given system of equation is: (6, -8)

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