Homework Help

Solve by graphing. 2x=-y+1 2x-y=5

user profile pic

anya4one | Student, Undergraduate | Honors

Posted October 31, 2011 at 11:50 PM via web

dislike 0 like

Solve by graphing.

2x=-y+1

2x-y=5

1 Answer | Add Yours

user profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted December 22, 2011 at 4:15 AM (Answer #3)

dislike 0 like

Equating both expressions of 2x yields:

-y + 1 = 5 + y

You need to isolate y variable to the left side such that:

-y - y = 5 - 1

-2y = 4 => y = -2 = -2

Plugging y in the first equation yields:

2x = -(-2) + 1 => 2x = 3 => x = `3/2`

The solution to the system of equations is the point of intersection of the lines 2x = -y+1; 2x = 5+y.

The coordinates of the point of intersection: (`3/2`  ; -2).

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes