You are given a 2 digit number. 7 times its tens digit plus 6 times its ones digit is equal to 75;
8 times its tens digit minus 1 times its ones digit is equal to 15. What is the number ?
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myininaya (myininaya):
sometthing here
let x be the 10's digit
let y be the 1's digit
7x+6y=75
what's the other equation?
OpenStudy (anonymous):
wouldnt it be :
8x - 1 = 15?
Wait that might be totally wrong.. :P
OpenStudy (anonymous):
ok but does anyone know the answer?
myininaya (myininaya):
i did the last problem for you. shouldn't you learn how to do then for me to give you the answers
OpenStudy (anonymous):
i just need one more example
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myininaya (myininaya):
close I<fun
myininaya (myininaya):
fun is close help her with the equation should put down
OpenStudy (anonymous):
oh ^^ thx i figured it wasnt totally rite :P lol and call me dolly!!
myininaya (myininaya):
shes missing one little thing
OpenStudy (anonymous):
?
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myininaya (myininaya):
what does y represent?
OpenStudy (anonymous):
the answer
myininaya (myininaya):
above i said let y represent the 1's digit remember?
OpenStudy (anonymous):
ohh ok
myininaya (myininaya):
8 times its ten's digit minus 1 times its one's digit is equal to 15 its one's digit in symbols is...
8 * x - 1 * y = 15
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myininaya (myininaya):
8x-y=15
OpenStudy (anonymous):
so the answer is y= 8x+25
OpenStudy (anonymous):
so what is the answer?
myininaya (myininaya):
we haven't got there yet
we have two equations 8x-y=15 and 7x+6y=75
OpenStudy (anonymous):
ok
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myininaya (myininaya):
try to solve that first one for either x or y and let me know what you come up with
OpenStudy (anonymous):
y=8x-15
myininaya (myininaya):
good now plug that into the y in the other equation
so you would 7x+6(_________)=75 what goes in that blank?
OpenStudy (anonymous):
7x+42-90=75
myininaya (myininaya):
7x+6(8x-15)=75
7x+48x-80=75 now see if you can solve this for x
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OpenStudy (anonymous):
55x=155
OpenStudy (anonymous):
the answer is 3
OpenStudy (anonymous):
you made a mistake 6 times 15 is 90
OpenStudy (anonymous):
is that the correct answer?
myininaya (myininaya):
ok then it would be 55x=165 which would make x=3
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myininaya (myininaya):
but thats the 10's digit
whats the one's digit
OpenStudy (anonymous):
its 39
myininaya (myininaya):
so if x=3, then y=8(3)-15=24-15=9
so yes the answer is 39