How many solutions does the system of equations have?

3x=-12y+15 and x+4y=5

Question

How many solutions does the system of equations have?

3x=-12y+15 and x+4y=5

anonymous · Answer

If the equations contradict each other, then you have no solutions.
If the equations are equivalent to each other, you have infinite solutions.
If the equations are distinct, you will get precisely one solution.

anonymous · Answer

You may start off by rearranging the first equation so that the x and y variables match up.

anonymous · Answer

$$3x+12y=15$$

anonymous · Answer

$$x+4y=5$$

anonymous · Answer

Notice however, that if you multiply the second equation by a factor of 3, you get the same equation as the first equation.

anonymous · Answer

Since they are equivalent to each other, you will have infinite solutions.

anonymous · Answer

thank you, can you help me with the answer to more?

anonymous · Answer

Sure, please feel free to award a medal if you believe the above response was helpful.

anonymous · Answer

yeah, you really were! don't need any more help though actually. thank you though!!