SOLUTION: Solve the following system of equations by graphing. if the system is inconsistent or the equations are dependent, say so. I know the that the equations are dependent, but I'm conf

Algebra ->  Finance -> SOLUTION: Solve the following system of equations by graphing. if the system is inconsistent or the equations are dependent, say so. I know the that the equations are dependent, but I'm conf      Log On


   

Question 1005570: Solve the following system of equations by graphing. if the system is inconsistent or the equations are dependent, say so. I know the that the equations are dependent, but I'm confused on what is the solution set. Is the solution set 10x-4y=6 or 5x-2y=3?
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
Examine the first equation:
-4y=-10x%2B6
y=%2810%2F4%29x-3%2F2
y=%285%2F2%29x-3%2F2
Graph this using (0, -(3/2)) and slope 5%2F2.

Examine the second equation:
-2y=-5x%2B3
y=%285%2F2%29x-3%2F2
Graph this using (0, -(3/2) ) and slope 5%2F2.


WHY do you believe you could solve the system by graphing or by algebra-arithmetic?

Here is the graph of the system:
graph%28300%2C300%2C-3%2C3%2C-3%2C3%2C5x%2F2-3%2F2%2C5x%2F2-3%2F2%29
The "two" lines are the same, or congruent. Both equations are the same line. The points on the line y=%285%2F2%29x-3%2F2 WILL SATISFY BOTH EQUATIONS.