The solution is: x= 7 and y = 2
Step-by-step explanation:
Given equations are:
Putting x = 3y+1 in equation 2 from equation 1
Subtracting 1 from both sides
Dividing both sides by 7
Putting y=2 in equation 1
Hence,
The solution is: x= 7 and y = 2
Keywords: Linear equations, substitution method
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80 because 65+35 equals 100 then 180-100 is 80
Using trigonometric relations, we will see that:
sin(θ ) = -0.8
<h3>
How to get the sine of the angle?</h3>
For any point (x, y), the angle between the positive x-axis and the ray that connects the origin with the point (x, y) is:
θ = Atan(y/x)
In this case, the point is (3, -4), then the angle is:
θ = Atan(-4/3) = -53.13°
Then the sine of theta is:
sin(θ = -53.13°) = -0.8
If you want to learn more about trigonometric functions:
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Lets day the original price of the dvd player was $100,
36% marked down means you pay $64x
64x = $41.60
100x = 100/54 x 41.60 = 4160/64 = #65.00 = original cost
similarly, stereo tuners = 100/78 x 69.42 = 6942/78 = $89 original cost
DVD = 65- 41.60 = $ 23. 40 less
Stereo = 89- 69.42 = $ 19.58 less
Diffrence is $ 3.82
so your answer is the dvd player price was reduced by $3.82 more than the stereo tuner.
