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Example: Solve following.
| 10 x - 3 |= 0
Solution
Let's approach this one through a geometric standpoint. It is saying that the quantity in the absolute value bars has a distance of zero from the origin. There is just one number that has the property and i.e. zero itself. Thus, we must have,
10x - 3 = 0 ⇒ x = 3/10
In this case we acquire a single solution.
Thus, if b is zero then we can just drop the absolute value bars and solve the equation. Likewise, if b is negative then there will be no solution to the equation.
To this point we've only looked at equations which involve an absolute value being equivalent to a number, however there is no cause to think that there ought to only be a number on the other side of the equal sign. Similarly, there is no cause to think that we can only have one absolute value in the problem. Thus, we have to take a look at a couple of these kinds of equations.
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when I have the equation of 6x-9y=18 and I have to graph the answers I am not sure how to come up with the answers, please help
7x-4y=19;17x-2y=-31
For these properties we will suppose that x > 0 and y > 0 log b ( xy ) = log b x + log b y log b ( x/y) = log b x - log b y log b (x r ) = r log x If log
Now we need to discuss the new method of combining functions. The new way of combining functions is called function composition. Following is the definition. Given two functions
graph the following and find the point of intersection 2x+y=-4 y+2x=3
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