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.

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- myininaya

first sentence says a number plus another number is 48.
You can write that as a mathematical equation.

- myininaya

Can you give it ago? Just translate the first sentence as a mathematical equation.

- anonymous

ok so

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## More answers

- anonymous

x+x=48

- myininaya

we do not know the numbers are the same

- myininaya

so x+y=48

- myininaya

now let's assume y is the larger value

- myininaya

second sentence says
y is 6 less than twice x

- myininaya

can you write that as a mathematical equation

- anonymous

-12+x=48

- 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

12*4

- myininaya

y is 6 less than twice x
y = 6 less than twice x
y = 6 less than 2x
y=2x-6

- myininaya

i translated each little part for you one at a time

- myininaya

anyways first equation we had: x+y=48
second equation we had: y=2x-6

- myininaya

insert (2x-6) for equation 1 's y

- myininaya

replacing y with 2x-6
we have first equation now is x+2x-6=48
can you solve for x

- anonymous

x=18

- myininaya

ok can you find y

- myininaya

recall y=2x-6

- anonymous

im not sure no

- myininaya

you remember you got x is 18?

- myininaya

y=2(18)-6
I replaced x with 18
since x is 18

- myininaya

2(18) means multiply 2 and 18

- myininaya

2(18)-6 means after multiplying 2 and 18
take away 6 from that product

- myininaya

were you able to simplify the value for y:
y=2(18)-6 ?

- anonymous

y=30 @myininaya

- anonymous

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