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The two figures at right are similar. Solve for both x and y. Show all work.

waffles May 22, 2017

#1**+1 **

8/ 6 = 12 / x cross-multiply

8x = 72 ........divide both sides by 8

x = 9

And

x / 15 = 6 / y

9 / 15 = 6 / y cross-multiply

9y = 90 divide both sides by 9

y = 10

CPhill May 22, 2017

#2**0 **

Solve the following system:

{5/4 = y/8 | (equation 1)

x/12 = 3/4 | (equation 2)

Express the system in standard form:

{-y/8+0 x = -5/4 | (equation 1)

0 y+x/12 = 3/4 | (equation 2)

Multiply equation 1 by -8:

{y+0 x = 10 | (equation 1)

0 y+x/12 = 3/4 | (equation 2)

Multiply equation 2 by 12:

{y+0 x = 10 | (equation 1)

0 y+x = 9 | (equation 2)

Collect results:

**Answer: | y = 10 and x = 9**

Guest May 22, 2017