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
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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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
y=30 @myininaya
anonymous
  • anonymous
@myininaya

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