SOLUTION: Suppose you need to solve a system of equations in which both equations represent lines. How many solutions can your system have? How many solutions does the following equations

Algebra ->  College  -> Linear Algebra -> SOLUTION: Suppose you need to solve a system of equations in which both equations represent lines. How many solutions can your system have? How many solutions does the following equations       Log On


   

Question 224442: Suppose you need to solve a system of equations in which both equations represent lines. How many solutions can your system have?
How many solutions does the following equations have?
8x+4y=8
2x-2y=-4
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose you need to solve a system of equations in which both equations represent lines. How many solutions can your system have? None, One, and Many
How many solutions does the following equations have? One. The lines intersect at one point as shown below at (0,2)

8x+4y=8
2x-2y=-4

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++8%5Cx+%2B+4%5Cy+=+8%2C%0D%0A++++2%5Cx+%2B+-2%5Cy+=+-4+%29%0D%0A++We'll use substitution. After moving 4*y to the right, we get:
8%2Ax+=+8+-+4%2Ay, or x+=+8%2F8+-+4%2Ay%2F8. Substitute that
into another equation:
2%2A%288%2F8+-+4%2Ay%2F8%29+%2B+-2%5Cy+=+-4 and simplify: So, we know that y=. Since x+=+8%2F8+-+4%2Ay%2F8, x=1.

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



I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J