Question

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.

Answer 1

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

Answer 2

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

Answer 3

ok so

Answer 4

x+x=48

Answer 5

we do not know the numbers are the same

Answer 6

so x+y=48

Answer 7

now let's assume y is the larger value

Answer 8

second sentence says
y is 6 less than twice x

Answer 9

can you write that as a mathematical equation

Answer 10

-12+x=48

Answer 11

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

Answer 12

12*4

Answer 13

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

Answer 14

i translated each little part for you one at a time

Answer 15

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

Answer 16

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

Answer 17

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

Answer 18

x=18

Answer 19

ok can you find y

Answer 20

recall y=2x-6

Answer 21

im not sure no

Answer 22

you remember you got x is 18?

Answer 23

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

Answer 24

2(18) means multiply 2 and 18

Answer 25

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

Answer 26

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

Answer 27

y=30 @myininaya

Answer 28

@myininaya