SOLUTION: Solve each system of equations by graphing. y=x-2 y=3x-8

Algebra ->  Linear-equations -> SOLUTION: Solve each system of equations by graphing. y=x-2 y=3x-8      Log On


   



Question 225062: Solve each system of equations by graphing.
y=x-2
y=3x-8

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Solve each system of equations by graphing.
y=x-2
y=3x-8

Step 1. Graphing the system of equations is

graph%28400%2C400%2C+-10%2C+10%2C+-10%2C+10%2C+x-2%2C+3x-8%29

Step 2. Based on the graph, the intersection point is (3,1)

Step 3. Check if the intersection point (3,1) satisfies the system of equations

y=x-2 1=3-2 which is a true statement
y=3x-8 1=3*3-8 which is another true statement

Step 4. ANSWER: The solution is (3,1) or x=3 and y=1.

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