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Home > Algebra calculators > Variation equations example - x proportion y and x=4,y=2. find x=18,y=?.
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2. Variation equations - If `x prop y` and x=4,y=2 then find y when x=18 example
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1. Examples
1. `x prop y and x=4,y=2.` Find `x=18,y=?`Solution:`x prop y` `=>x=K*y` Now, `x=4,y=2` `=>4 = K * 2` `=> K = (4)/(2)` `=> K = 2` Hence, `x=2*y` `x=18,y=?` `=>18=2 * y` `=> (18)/(2) = y` `=>y=9`
2. `x prop yz and x=8,y=4,z=3.` Find `x=?,y=6,z=4`Solution:`x prop yz` `=>x=K*yz` Now, `x=8,y=4,z=3` `=>8 = K * 4*3` `=>8 = K * 12` `=> K = (8)/(12)` `=> K = 2/3` Hence, `x=2/3*yz` `x=?,y=6,z=4` `=>x=2/3 * 6*4` `=>x=2/3 * 24` `=>x=16`
3. `x prop y^3/z and x=8,y=4,z=3.` Find `x=?,y=6,z=4`Solution:`x prop y^3/z` `=>x=K*y^3/z` Now, `x=8,y=4,z=3` `=>8 = K * 4^3/3` `=>8 = K * 64/3` `=> K = 8*3/64` `=> K = 3/8` Hence, `x=3/8*y^3/z` `x=?,y=6,z=4` `=>x=3/8 * 6^3/4` `=>x=3/8 * 54` `=>x=81/4`
This material is intended as a summary. Use your textbook for detail explanation.
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