SOLUTION: 2x-4y=6 3x+y=-5 what are the coordinates of the point of intersection?

Algebra ->  Coordinate-system -> SOLUTION: 2x-4y=6 3x+y=-5 what are the coordinates of the point of intersection?      Log On


   



Question 160931: 2x-4y=6
3x+y=-5
what are the coordinates of the point of intersection?

Answer by KnightOwlTutor(293) About Me  (Show Source):
You can put this solution on YOUR website!
2x-4y=6
3x+y=-5
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++2%5Cx+%2B+-4%5Cy+=+6%2C%0D%0A++++3%5Cx+%2B+1%5Cy+=+-5+%29%0D%0A++We'll use substitution. After moving -4*y to the right, we get:
2%2Ax+=+6+-+-4%2Ay, or x+=+6%2F2+-+-4%2Ay%2F2. Substitute that
into another equation:
3%2A%286%2F2+-+-4%2Ay%2F2%29+%2B+1%5Cy+=+-5 and simplify: So, we know that y=-2. Since x+=+6%2F2+-+-4%2Ay%2F2, x=-1.

Answer: system%28+x=-1%2C+y=-2+%29.