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- anonymous

Is this equation linear in the variables of x and y:
(sin2)x-y=14

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- anonymous

Is this equation linear in the variables of x and y:
(sin2)x-y=14

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- anonymous

My answer was yes, anyone please let me know if this is right

- jim_thompson5910

if the equation is \[\Large \sin(2)*x - y = 14\] then you are correct
the sin(2) part is a number, approx 0.034899
so the equation is approximately equivalent to 0.034899x - y = 14. You can place it into y = mx+b form

- anonymous

Okay thank you, I also had another question. Why is 2sinx-y=14 non linear?

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- jim_thompson5910

because of the sin(x) term
if you solve for y, you get y = 2sin(x) - 14 which graphs a curvy/wavy like equation and NOT a straight line.
https://www.desmos.com/calculator/6xg8ycssnj

- anonymous

oh okay got it, thank you

- jim_thompson5910

the big difference is what goes inside the sine function
if it's a single number that doesn't change, then you can replace the sine expression with some fixed number that doesn't change
but if x or some algebraic expression is inside the sine function, then you'll get that curve and pattern

- jim_thompson5910

no problem

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