3x+2y=6 5x+3y=15 ~solve using Graphing ~Solve using Substitution ~Solve using Elimination ~Write an application problem
which part is hardest for you?
graphing & elimination ( i don't know how to get a negative number instead of a postive with the numbers given) ~nothing times 3 gives -5~
okay. to graph equations, first you need to write equations for y \(y = \frac{6-3x}{2}\) is first one.
can you tell me second one? like I did for first one
\(y= \frac{15-5x}{3}\) yea?
\[y=\frac{ 15-5 }{ 3 }\] .??
5x. not just 5
why does it have to subbtract.?
subtract*
\[3x +2y = 6 \\ 3x + 2y - 3x = 6 -3x \\ 2y = 6 -3x \\ \frac{2y}{2} = \frac{6-3x}{2} \\ y = \frac{6-3x}{2}\]
do same with 2nd one. you will get my answer
to be honest i have no clue what you just did.. our teacher showed us an "easy" method.. which was... what times 3 gives us 6.. well 2, 3x2=6, so 2 was our x.. now what times 2 gives us 6.. well 3, 2x3=6, so 3 was our y..
so our points were (2,3) & she graphed..
well, at the end, you have to graph them anyways. so these are the graphs |dw:1447658164960:dw|
so, solutions are points where 2 graphs meet. that's (0,3|dw:1447658391683:dw|)
well thanks for your help and time I appreciate it.. :)
you are welcome:)
c
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