Write the equation for each of the following statements (Each one is worth 10 points): 1) Xavier is nine years younger than Yolanda. 2) Yolanda is seven years older than Zed. 3) The sum of the ages of Xavier and Yolanda is twenty-five.​

9514 1404 393

Step-by-step explanation:

We can let X, Y, and Z represent the ages of Xavier, Yolanda, and Zed, respectively.

1) X = Y -9 . . . . . . Xavier is 9 years younger than Yolanda

2) Y = Z +7 . . . . . Yolanda is 7 years older than Zed

3) X +Y = 25 . . . . the sum of ages of Xavier and Yolanda is 25

Additional comment

The first equation can be substituted into the last to give 2Y-9=25 ⇒ Y=17. The other ages are easily computed once you know this. X=8, Z=10.

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step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.