225k views
1 vote
What is the solution of the system? x+y=6x−y=2 Enter your answer in the box, as an ordered pair.

User Synapsis
by
3.4k points

1 Answer

6 votes

Answer:[5, 1]

Explanation:

The given system of equations is expressed as

x+y=6 - - - - - - - - -1

x−y=2 - ,- - - - - - - - 2

The first step would be to eliminate y by adding equation 1 to equation 2. It becomes

x + x = 6 + 2

2x = 10

Dividing the left hand side and the right hand side of the equation by 2, it becomes

2x/2 = 10/2

x = 5

Substituting x = 5 into equation 1, it becomes.

5 + y = 6

Subtracting 5 from the left hand side and the right hand side of the equation, it becomes

5 - 5 + y = 6 - 5

y = 1

User Achmed Zuzali
by
3.1k points