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

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

waffles  May 22, 2017
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#1
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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
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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

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