on a line the distance between 2x and 7x plus 80 is 142. Solve for x
7x+80 - 2x = 142
5x = 62
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thank you oh so much.. means much
so.. solving for x.. does not give a whole number?
in this case, apparently not. Seems a bit odd, but that's so.
I'm assuming your question can be parsed as
distance between (2x) and (7x+80)
That would indeed be the larger minus the smaller, or 5x+80
i really appreciate this
To solve for x, we need to set up an equation using the given information.
The distance between two points on a line can be found using the formula:
Distance = |b - a|
In this case, we have the values of a = 2x and b = 7x + 80.
So, the equation becomes:
|7x + 80 - 2x| = 142
To solve this equation, we need to consider two cases:
Case 1: (7x + 80 - 2x) = 142
Simplifying this equation, we have:
5x + 80 = 142
Subtracting 80 from both sides, we get:
5x = 142 - 80
5x = 62
Dividing both sides by 5, we find:
x = 62 / 5
x = 12.4
Case 2: (7x + 80 - 2x) = -142
Simplifying this equation, we have:
5x + 80 = -142
Subtracting 80 from both sides, we get:
5x = -142 - 80
5x = -222
Dividing both sides by 5, we find:
x = -222 / 5
x = -44.4
So, there are two possible solutions: x = 12.4 and x = -44.4.