You work for a company that makes tiles for patios. A customer sent you the following picture of his patio. He said the patio is
made up of the same tiles, positioned vertically and horizontally. He says he wants to replace 3 tiles that are cracked. He didn’t tell you the dimensions of the tile itself but did tell you that the width of the patio was 8 feet. Determine the dimensions of a tile in the patio.
1 answer:
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Answer:
Step-by-step explanation:
Let's re-write the equations in order to get the variables as separated in independent terms as possible \:
First equation:
Second equation:
Third equation:
Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":
Combine this last expression term by term with the reduced equation 2, and solve for "x" :
Now we use this value for "x" back in equation 1 to solve for "y":
And finally we solve for the third unknown "z":