Solve this system by graphing. Tell whether the system has one solution, infinitely many solutions or no solutions.
{3x + y = 2
{4y = 12 - 12x

Question

Solve this system by graphing. Tell whether the system has one solution, infinitely many solutions or no solutions. 
{3x + y = 2
{4y = 12 - 12x

kendricklamar2014 · Answer

@phi

phi · Answer

First step,
in the second equation, rewrite it in standard form. that means add +12x to both sides
what do you get ?

kendricklamar2014 · Answer

Like this @Phi: 4y + 12x = 12 - 12x + 12x

thesmartone · Answer

She meant standard form
Ax+By=C

So

4y      = 12 - 12x
+12x          +12x 
-----------------

thesmartone · Answer

And since it says graphing we can easily plug it into https://www.desmos.com/calculator And see.

kendricklamar2014 · Answer

How do you add 12x to 4y??

thesmartone · Answer

And when you see the graph.
If the two lines are parallel then the lines have no solution
If the two lines are the same then there are infinitely many solutions
If the two lines intersect at one point then there is only one solution.

thesmartone · Answer

Do you get that? @KendrickLamar2014

kendricklamar2014 · Answer

So, the answer is no Solution @TheSmartOne

thesmartone · Answer

You plug the 2 equations into the calculator.

kendricklamar2014 · Answer

yes, and they were parallel

thesmartone · Answer

Exactly!

kendricklamar2014 · Answer

Thanks