SOLUTION: Use a graphing calculator to solve the system of linear equations.
2x + 3y = 12
-3x + 2y = 8
Algebra.Com
Question 1205984: Use a graphing calculator to solve the system of linear equations.
2x + 3y = 12
-3x + 2y = 8
Found 3 solutions by MathLover1, math_tutor2020, ikleyn:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
as you can see on the graph, intersection point is (,), so
solution is:
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
If you have a TI83 calculator or similar, then I recommend you use that.
If not, then something like Desmos or GeoGebra are recommended.
https://www.desmos.com/calculator
https://www.geogebra.org/calculator
Both are free and don't require sign up or downloads. They work right away.
GeoGebra has the option to download if you wanted (I'm not sure Desmos does but it might).
Here's what your particular graph will look like when using Desmos
https://www.desmos.com/calculator/zqoi41zvmt
The two lines intersect at (0,4) which is the solution to the system.
Check:
Plug x = 0 and y = 4 into the 1st equation
2x + 3y = 12
2*0 + 3*4 = 12
0+12 = 12
12 = 12
The 1st equation is confirmed.
Do so for the 2nd equation as well
-3x + 2y = 8
-3*0 + 2*4 = 8
0+8 = 8
8 = 8
The 2nd equation is confirmed.
The answer is fully confirmed since both equations are true for this x,y pair.
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
If you want to LEARN on how to do it ON YOUR OWN using TI-83/84 calculator,
there is a nice lesson for it in the Internet
https://www.google.com/search?q=Use+a+graphing+calculator+to+solve+the+system+of+linear+equations.&rlz=1C1CHBF_enUS1071US1071&oq=Use+a+graphing+calculator+to+solve+the+system+of+linear+equations.&gs_lcrp=EgZjaHJvbWUyBggAEEUYOTIHCAEQABiABDIGCAIQABge0gEJNTQ5OWowajE1qAIAsAIA&sourceid=chrome&ie=UTF-8#fpstate=ive&vld=cid:113039c9,vid:dA2NjW5h7vc,st:27
As this problem is worded, it does not necessary assume that you will plot the graphs.
What it assumes, for certainty, is that you will use graphing calculator to get the answer.
These are two different conceptions here.
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