SOLUTION: solve the system of equations by graphing. then classify 6x + y = 46 7x + 8y = 40

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Question 225024: solve the system of equations by graphing. then classify
6x + y = 46
7x + 8y = 40
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system of equations by graphing. Then classify

6x + y = 46
7x + 8y = 40

Step 1. Graph the two lines from above as shown below

graph%28400%2C400%2C+-10%2C10%2C-10%2C10%2C+-6x%2B46%2C+-7x%2F8%2B5%29

Step 2. Based on the graph the intersection point is (8,-2) or x=8 and y=-2.

Step 3. Check if the solution (8,2) satisfies the above linear system of equations

6x + y = 46 or 6*8+-2=46 or 46=46 which is a true statement
7x + 8y = 40 or 7*8+8*(-2)=40 or 40=40 which is another true statement

Step 4. ANSWER: The solution is (8,2). The equations are independent and consistent providing a unique solution.

I hope the above explanation was useful.

And good luck in your studies!

For free Step-By-Step Videos on Introduction to Algebra, please visit
http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit
http://www.FreedomUniversity.TV/courses/Trigonometry.

Respectfully,
Dr J