Add the 2 equations and you should get: 0 +- 0 = 0. 

This is a true statement, so YES, INFINITELY MANY solutions exist in this case. 

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
 .





These two equations are  EQUIVALENT  to each other.





It means that you have,  actually,  one equation for two variables.





It has  INFINITELY  many solutions.





You can take any value for one variable and then adjust the second value to have true solution to one equation



(and hence for both equations).





Geometrically,  these two equations represent one line  (the same line)  in a coordinate plane;



all the points of this line represent infinitely many solutions.







That's all.







 

RELATED QUESTIONS

 How do I solve and graph this problem?
Also, is there no solution or infinitely many... (answered by stanbon)

7x + 2y = 0
4y = -14x 

what are the steps to solve 

is this infinitely many... (answered by jorel1380)

Help I cant figure this out!!! Please break it down fo rme so i can understand it.... (answered by stanbon)

1)  Solve the system of equations by graphing.  Then classify the system as consistent or  (answered by jim_thompson5910)

Can You please help me this these problems

1. Solve the equation using addition... (answered by oscargut)

solve by the elimination method.

4x+5y=2
8x+10y=4

a.the solution is?
b. there are  (answered by Mr. Math Wiz)

1. Determine whether the system has one solution, no  solution, or infinitely many... (answered by rwm)

The following needs to be solved by graphing:
4x+y=6
y=-4x-1
I also need to know if... (answered by jim_thompson5910)

Please help!


Solve by elimination method:
 
4x+ 5y = 2
8x + 10y = 4
Either the... (answered by checkley77)