Answer:
Step-by-step explanation:
2x + 3y = 51........(1)
- x+2y = 8...........(2)
Making x as subject in equation (2)
-x = -2y + 8
x = 2y - 8.........(3)
Substituting (3) in (1)
2(2y - 8) + 3y = 51
4y - 16 + 3y = 51
Collecting like terms
4y + 3y = 51 + 16
7y = 67
y = 67/7
y = 9 4/7
And x = 2y - 8
x = 2(67/7) - 8
x = 134/7 - 8
x = (134 - 56)/7
x = 78/7
x = 11 1/7
The trigonometric functions have features that are worthy of note. Among these features are the period and the amplitude. The graph of f(x)=cos x repeats itself along the x-axis by a certain distance. This distance is called the period. For the cosine function, the period is 2pi radians. It can also be observed that the graph goes up and down by a certain distance. This distance is called the amplitude. For the curve of f(x)=cos x, the amplitude is 1. The main difference between a cosine function and a sine function is that the former is symmetric with respect to the y-axis while the latter is symmetric with respect to the origin.