anonymous
  • anonymous
The sum of two numbers is 48. If the larger number is 6 less than twice the smaller number, find the two numbers. Write and solve a system of equations for this situation.
Mathematics
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anonymous
  • anonymous
The sum of two numbers is 48. If the larger number is 6 less than twice the smaller number, find the two numbers. Write and solve a system of equations for this situation.
Mathematics
jamiebookeater
  • jamiebookeater
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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myininaya
  • myininaya
first sentence says a number plus another number is 48. You can write that as a mathematical equation.
myininaya
  • myininaya
Can you give it ago? Just translate the first sentence as a mathematical equation.
anonymous
  • anonymous
ok so

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anonymous
  • anonymous
x+x=48
myininaya
  • myininaya
we do not know the numbers are the same
myininaya
  • myininaya
so x+y=48
myininaya
  • myininaya
now let's assume y is the larger value
myininaya
  • myininaya
second sentence says y is 6 less than twice x
myininaya
  • myininaya
can you write that as a mathematical equation
anonymous
  • anonymous
-12+x=48
myininaya
  • myininaya
y is 6 less than twice x replace is with equals and n less than m means m-n and twice a number is 2 times a number
anonymous
  • anonymous
12*4
myininaya
  • myininaya
y is 6 less than twice x y = 6 less than twice x y = 6 less than 2x y=2x-6
myininaya
  • myininaya
i translated each little part for you one at a time
myininaya
  • myininaya
anyways first equation we had: x+y=48 second equation we had: y=2x-6
myininaya
  • myininaya
insert (2x-6) for equation 1 's y
myininaya
  • myininaya
replacing y with 2x-6 we have first equation now is x+2x-6=48 can you solve for x
anonymous
  • anonymous
x=18
myininaya
  • myininaya
ok can you find y
myininaya
  • myininaya
recall y=2x-6
anonymous
  • anonymous
im not sure no
myininaya
  • myininaya
you remember you got x is 18?
myininaya
  • myininaya
y=2(18)-6 I replaced x with 18 since x is 18
myininaya
  • myininaya
2(18) means multiply 2 and 18
myininaya
  • myininaya
2(18)-6 means after multiplying 2 and 18 take away 6 from that product
myininaya
  • myininaya
were you able to simplify the value for y: y=2(18)-6 ?
anonymous
  • anonymous
anonymous
  • anonymous

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