-2x-6y=8 and -6x-6y=0
2 answers:
Answer:
Assume we want to find the solution to this system of equations.
The solution is<u> (2,-2)</u>
Step-by-step explanation:
We can find the solution either mathematically or by graphing. I'll do both.
<u>Math:</u>
Rearrange:
-2x-6y=8
-6y=8 +2x
y = -(1/3)x -(4/3)
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Now use this expression of y in the second equation:
-6x-6y=0
-6x-6(-(1/3)x -(4/3)) =0
-6x + 2x +8 =0
-4x = - 8
x = 2
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Use x = 2 in the first equation to find y:
y = -(1/3)x -(4/3)
y = -(1/3)*(2) -(4/3)
y = -(2/3) -(4/3)
y = -(6/3) or -2
The solution is (2,-2)
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<u>Graphing:</u>
See attached graph.
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Answer:
B) x = e^x
Step-by-step explanation:
The graphs of y = e^x and y = x never intersect, so the solution set will be the empty (null) set for ...
x = e^x
_____
There is one intersection of y=x with cos(x) and with sin(x). There are an infinite number of solutions for x = tan(x).
