Question

The solution for the equation x+y=5 and 2x-y=1 are .....​

Answer 1

Answer:

There are several ways to solve a system, so it's always best to choose the simplest method to avoid what we call "nuking mosquitos", i.e. using a complex solution for a simple problem

In this case, I think the easiest way is to sum the two equations: adding the left and right sides, we have

2

x

−

y

+

x

+

y

=

−

1

−

5

and thus

3

x

=

−

6

This should make clear why I chose to sum the two equations: we cancel

y

out, and can easily solve for

x

:

3

x

=

−

6

⇒

x

=

−

2

Once we know the value of

x

, we can obtain

y

by substitution:

x

+

y

=

−

2

⇒

−

2

+

y

=

−

5

⇒

y

=

−

3

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Adding both the equations we get 3x=6 =>x=2

Putting this in equation 1 or 2 we get y =3

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