SOLUTION: solve the following systems by using either addition or subtraction. if a unique solution does not exist, state whether the system is dependent or inconsistent. 10x+2y=7 y

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: solve the following systems by using either addition or subtraction. if a unique solution does not exist, state whether the system is dependent or inconsistent. 10x+2y=7 y      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 91570: solve the following systems by using either addition or subtraction. if a unique solution does not exist, state whether the system is dependent or inconsistent.
10x+2y=7
y=-5x+3
Answer by uma(370) About Me  (Show Source):
You can put this solution on YOUR website!
10x+2y=7-------------(1)
y=-5x+3--------------(2)
(2) can be written as 5x+y =3
Multiplying this by 2 we get,
10x+2y=6
10x+2y=7---------(1)
On subtracting these equations we find that, both the variables get cancelled.
==> the given system does not have a solution.
In other words the lines represented by these equations are parallel.