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13y - 5 = 9y + 27 First we must collect all similar terms together on either side of the equation: 13y - 9y = 27 + 5. As you can see, if a term is moved to the other side of the equation, the opposite sig...

(x+2)(x-1)=0 x+2=0x= -2x-1=0x=1

The key to this problem is to apply sec to both sides, and then differentiate implicitly: sec(y)=x; dsec(y)/dx = 1; tan(y)sec(y)dy/dx = 1; dy/dx = 1/(tan(y)sec(y)). Then using the fact that sec(y)=x and t...

Drawing the graphs of the trigonometric functions sin, cos & tan, we can see that they all extend along the x-axis to infinity. Indeed, the sin & cos functions move between 1 and -1 on the y-axis,...

Firstly, demonstrate with an example: Solve: 3x + y = -9 and x² + 2x - 3 = yRearrange the first equation to get "y" by itself by moving parts of the equation to the other side e.g. y ...