You need to make the equations for the expressions and then get them into a form that you can combine.
Let's say that X is the larger number:
X - Y = 66.. or X = Y + 66
X/Y = 7
(Y+66)/y = 7
Y/Y + 66/Y = 7
1 + 66/Y = 7
66/Y = 6
66 = 6Y
11 = Y
Now substitute the value 11 into one of the equations and solve for X.
X - 11 = 66
X = 66 + 11
X = 77
or
X/Y = 7
X/11 = 7
X = 77
2007-06-24 03:53:11
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answer #1
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answered by ♥Tom♥ 6
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solving this using simultaneous equations solution, we can use the elimination mtd.
Step 1. Represent the unknown
Let x be the bigger no. and y the smaller no.
Step 2: Form the equations based on the given info/condition
The diff. bet. 2 nos. is 66
x - y =66 ------>eq 1
when the bigger no. is divided by the smaller no., the
quotient is 7
x
-- = 7 ------> eq. 2
y
Step 3 Solve using elimintion mtd by subtraction:
x - y = 66
_
(x/y = 7)(y)
----------------------
x - y = 66
_
x = 7y
--------------------
x - y = 66
_
x - 7y = 0
--------------------
Using subtraction, change the subtraction operation to addition and then change the signs of the subtrahend to their opposite signs. Eliminate " x "
x - y = 66
+
( - )
-x + 7y = 0
------------------------
= 6y = 66
= y = 11
to solve for x, substitute the calculated value of y to either
of the given equations. Using eq 1, we have
x - y = 66
x - 11 = 66
x = 66 + 11
x = 77
Step 3: Check the answers by substituting the calc values of x and
to eq 2
x/y = 7
77/11 =7
7 = 7 chck and balanced
Step 4 Final answers:
x = 77 the bigger no.
y = 11 the smaller no.
2007-06-24 11:15:49
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answer #2
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answered by baeyongmok 2
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y=x+66
y/x = 7
(x+66)/x = 7
x/x+66/x = 7
1 +66/x = 7
66/x= 6
66 = 6x
11 = x
y= 66+x = 77
2007-06-24 11:33:40
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answer #3
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answered by Anonymous
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clearing up what Jimmy said:
x-y=66
y*7=x
when you solve for x in the 1st equation it becomes x = y + 66
then you substitute that for x in the 2nd equation
y *7 = y + 66
(y*7)-y=66
6y=66
y=11
x-y=66
x-(11)=66
x=77
2007-06-24 10:53:43
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answer #4
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answered by Lunais 4
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x-y=66
y*7=x
(y*7)-y=66
6y=66
y=11
x-y=66
x-(11)=66
x=77
The bigger number is 77, the smaller number is 11
2007-06-24 10:48:55
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answer #5
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answered by Jimmy 2
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nerd
2007-06-24 10:29:37
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answer #6
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answered by lucky 1
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