<PRE><B>Question 1152045</B>
Write an equation for each statement
Do what is necessary to get rid of the fractions
:
The sum of 2 numbers is 21.3/4
x + y = 21{{{3/4}}}
in the improper fraction form
x + y = {{{87/4}}}
multiply by 4
4x + 4y = 87
:
If one of the number is added to 2/3 of the other gives a sum of 15.
x + {{{2/3}}}y = 15
multiply by 3
3x + 2y = 45
:
use elimination, multiply the 2nd equation by 2, subtract the 1st equation
6x + 4y = 90
4x + 4y = 87
-------------------subtraction eliminates y, find x
2x + 0 = 3
x = 3/2
x = 1.5 or 1{{{1/2}}}
find y using the 1st simplified equation
4(1.5) + 4y = 87
6 + 4y = 87
4y = 87 - 6
4y = 81
y = 81/4
y = 20.25 or 20{{{1/4}}}
:
:
:
Check: 
1.5 + 20.25 = 21.75 which is 21{{{3/4}}}

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