a. Dilation of 2nd equation by a factor of 12
b. The systems have the same solution, as dilations do not affect overall coordinates, changing side lengths but not angles
<u>Given</u>:
Given that the triangle ABC is similar to triangle FGH.
We need to determine the value of x.
<u>Value of x:</u>
Since, the triangles are similar, then their sides are proportional.
Thus, we have;

Let us consider the proportion
to determine the value of x.
Substituting AB = 9 cm, GF = 13.5 cm, BC = 15 cm and GH = x, we get;

Cross multiplying, we get;



Thus, the value of x is 22.5 cm
Hence, Option F is the correct answer.
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Answer:
(9,36)
Step-by-step explanation:
Substitute the 4x for the y in second equation.
Basically setting them equal to each other because the both have 'y='
4x = 8x - 36
-4x = -36 (subtract 8x from both sides)
x = 9 (divide by -4, both sides)
y = 4(9) (Substitute the x value into first equation)
y = 36