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