SOLUTION: Which statement represents the solution to thi s system of equations? 2x+6y=16 6x+18y=48

Click here to see ALL problems on Equations

Question 1069994: Which statement represents the solution to thi
s system of equations?
2x+6y=16
6x+18y=48

Found 2 solutions by ikleyn, Fombitz:
Answer by ikleyn(52777)   (Show Source):
You can put this solution on YOUR website!
.
In the first equation, cancel both sides by the factor of 2.

In the second equation, cancel both sides by the factor of 6.

You will get TWO IDENTICAL equations.

So, actually, your system is ONE equation.

Or, in other words, your original two equations are dependent.

Therefore, the original system has INFINITELY MANY solutions.

See the lesson
    - Geometric interpretation of a linear system of two equations in two unknowns
in this site.

Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website!
The equations are integer multiples of the same equation.