Solve the system using elimination.

1 answer:

riadik2000 [5.3K]3 years ago

7 0

1.) 6x=12
x=2
3(2)+3y=-9
6+3y=-9
3y=-3
y=-1
(2,-1)

2.) 7x=-35
x=-5
5x+2y=-19
5(-5)+2y=-19
-25+2y=-19
2y=-44
y=-22
(-5,-22)

3.) 4x=-16
x=-4
2(-4) +3y=1
-8+3y=1
3y=-7
y=-7/3
(-4,7/3)

4.)7x=35
x=5
2(5)+3y=-5
10+3y=-5
3y=5
y=5/3
(5,5/3)

5.) 2x=-8
x=-4

x+4y=4
-4+4y=4
4y=0
y=1
(-4,1)

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Answer: 26 pieces of $1 bill and 34 pieces of $5 bill

Total Deposit = $196
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Lets assume all the 60 pieces were $1 bill.
The total deposit will be 60 x $1 = $60

But we know that the total deposit is $196. So the extra value must have come from the $5.

$196 - $60 = $136
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$5 - $1 = $4
The difference in the two bills is $4

Now we can find out the number of $5 bill by dividing the extra $136 by 4:
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There are 34 pieces of $5 bill.

Since there are 34 pieces of $5, the rest must be the $1 bill
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There are 26 pieces of $1 bill.

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Answer: 26 pieces of $1 bill and 34 pieces of $5 bill.
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