How many solutions are there to the following system of equations?
4x-14y=6
-2x+7y=-3

0
1
2
infinitely many

Question

How many solutions are there to the following system of equations?
4x-14y=6
-2x+7y=-3

0
1
2
infinitely many

anonymous · Answer

Note that 

$\large 4x-14y = 6 \implies -2(-2x+7y) = -2(-3) \implies -2x+7y = -3$.

With that said, can you figure out how many solutions you have now? :-)

anonymous · Answer

Two equations are constant multiple of each other. In order to solve for two variables x and y you need two unique equations.

anonymous · Answer

It have 0 Solutions since both the equations are same :)

annie96 · Answer

Thank you.

annie96 · Answer

Help.

anonymous · Answer

Since the system of equations reduces to one line $\large -2x+7y = -3$, then there are an infinite number of solutions because there are an infinite number of points $\large x,y$ that lie on tje line. 

Does this clarify things? :-)

annie96 · Answer

yes thank you.