SOLUTION: Without graphing, answer the following questions for the following linear system 3x+2y=7 18x+12y=3 a) Is the system inconsistent, or are the equations dependent, or neither?

Algebra ->  Equations -> SOLUTION: Without graphing, answer the following questions for the following linear system 3x+2y=7 18x+12y=3 a) Is the system inconsistent, or are the equations dependent, or neither?      Log On


   

Question 1005290: Without graphing, answer the following questions for the following linear system
3x+2y=7
18x+12y=3
a) Is the system inconsistent, or are the equations dependent, or neither?
b) Is the graph a pair of intersecting lines, a pair of parallel lines, or one line?
c) Does the system have one solution, no solution, or an infinite number of solutions?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Each equation has the same slope of -3%2F2, so either the two equations are for parallel lines or are for the same line.

The system changed into slope-intercept form:
system%28y=-%283%2F2%29x%2B7%2F2%2Cy=-%283%2F2%29x%2B1%2F4%29
DIFFERENT LINES

The slopes are the same but those are two different lines. That is everything you need to know to solve your problem.