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Evgen [1.6K]
3 years ago
12

ABCD TSVU find the value of Y

Mathematics
1 answer:
garik1379 [7]3 years ago
8 0

Answer:

The value of y = 7.5 and the scale factor is 2/3.

Step-by-step explanation:

To get the scale factor, let's get the ratio of 17 to 25

\frac{17}{25.5}  =  \frac{2}{3}

To check if 17 really is the 2/3 of 25.5

17 =  \frac{2}{3}  \times 25.5 \\ 17 =  \frac{51}{3}  \\ 17 = 17

Therefore, if 17 is the 2/3 of 25.5, then the line (3y-3.5) is also the 2/3 of (3y+6).

3y - 3.5 =  \frac{2}{3} (3y + 6) \\ 3(3y - 3.5) = 2(3y + 6) \\ 9y - 10.5 = 6y + 12 \\ 9y - 6y = 12 + 10.5 \\ 3y = 22.5 \\ y = 7.5

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katen-ka-za [31]

Answer:

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Step-by-step explanation:

9x + 8y = 3

6x - 12y = -11

Let's solve the system by eliminating x. We need the coefficients of x to be additive inverses, so they will add to zero eliminating x. The LCM of 9 and 6 is 18. Let's multiply both sides of the first by 2 and both sides of the second equation by -3.

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The coefficients of x are 18 and -18, which add to zero. Now we add these two equations.

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