Suppose δdef is the image of a translation of δabc. if d is at (−6, −2), what translation rule maps δabc to δdef?

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Ответ:

deeknuk

11.04.2023

Mathematics

For this case we have the following system of equations:

$4x-12y = 0\\x + 3y = 7$

To solve, we follow the steps below:

We multiply the second equation by -4:

-4x-12y = -28

We add the equations:

4x-4x-12y-12y = 0-28

Equal signs are added and the same sign is placed.

$-24y = -28\\y = \frac {-28} {- 24}\\y = \frac {14} {12} = \frac {7} {6}$

We look for the value of the variable "x":

$x = 7-3y\\x = 7-3 \frac {7} {6}\\x = 7- \frac {21} {6}\\x = \frac {42-21} {6}\\x = \frac {21} {6}\\x = \frac {7} {2}$

Thus, the solution of the system is:

$(x, y): (\frac {7} {2}; \frac {7} {6})$

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