Points C (5) and E (17) are marked on the coordinate ray. What coordinate should point M have for ME to be 6 times shorter than CE?

Suppose point M is located on the coordinate ray between points C and E, and the coordinate of point M is X.

Then 5 <X <17.

Find the length of the segment ME. To do this, from the coordinate of point E, equal to seventeen, subtract the coordinate of point M, equal to X. We get 17 – X.

Find the length of the segment CE:

point C is five;
the coordinate of point E is seventeen;
therefore, subtract five from seventeen.
17 – 5 = 12

The length of the segment CE is twelve.

By the statement of the problem, the segment ME is six times shorter than the segment CE. Let’s make an equation.

(17 – X) * 6 = 12

17 – X = 2

X = 15

So, the coordinate of point M is fifteen.

Let point M be located to the right than point E
Suppose point M is located on the coordinate ray to the right of point E, and the coordinate of point M is Y.

Then Y> 17.

Find the length of the segment ME. To do this, from the coordinate of point M, equal to Y, we subtract the coordinate of point E, equal to seventeen. It turns out Y – 17.

Earlier we found out that the length of the segment CE is twelve.

By the statement of the problem, the segment ME is six times shorter than the segment CE. Let’s make an equation.

(Y – 17) * 6 = 12

Y – 17 = 2

Y = 19

So, the coordinate of point M is nineteen.

Answer: five or nineteen.