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Alex787 [66]
3 years ago
9

Solve the system: {4x-7y=30, 4x-5y=90

Mathematics
1 answer:
Lerok [7]3 years ago
7 0

Answer:

x=60, y=30

Step-by-step explanation:

4x-7y=30

4x-5y=90

Subtract the equations

4x-7y=30-4x-5y=90

=2y=60

Solve 2y=60

Divide both sides by 2

2y/2=60/2

Simplify;

y=30

For 4x-7*30=30 for x

4x-7y*30=30

Multiply the numbers:7*30=210

4x-210=30

Add 210 to both sides

4x-210+210=30+210

Simplify;

4x=240

Divide both sides by 4

4x/4=240/4

Simplify

x=60

The solutions to the system of equations are:

x=60, y=30

Hope this helped!!!

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Is there a commutative property of subtraction that states a-b=b-a? investigate and make a conclusion that you justify.
Rom4ik [11]

No is your answer

Assuming that b ≠ a, the answers will not be the same.

For example, (remembering that b ≠ a) let us assume that b = 10, a = 5

10 - 5 = 5

5 - 10 = -5

5 ≠ -5

So the commutative property of subtraction does not work unless in certain cases, in which a = b.

hope this helps

5 0
3 years ago
Joey has a full 40 coins consisting of only quarters and nickels if the total value is $5.00 how many of each does joey have.
Archy [21]
Q + n = 40....q = 40 - n
0.25q + 0.05n = 5

0.25(40 - n) + 0.05n = 5
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 - 0.20n = -5
n = -5 / -0.20
n = 25 <=== 25 nickels

q + n = 40
q + 25 = 40
q = 40 - 25
q = 15 <== 15 quarters
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3 years ago
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do the parentheses first to get 4

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If your question is will he have enough money, the answer is no he will not.
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