Posted by **Anonymous** on Sunday, December 4, 2011 at 11:26am.

three times a first number decreased by a second number is 25. the first number increased by four times the second number is -22. find the numbers

- algebra -
**Matt**, Sunday, December 4, 2011 at 11:31am
3x-y=25

x+4y=-22

3x-y=25

-3x-12y=66

-13y=91

y=-7

x+4(-7)=-22

x=6

- algebra -
**Reiny**, Sunday, December 4, 2011 at 11:37am
first number -- x

second number ---y

translation:

" three times a first number decreased by a second number is 25" ---> 3x - y = 25

" the first number increased by four times the second number is -22" ---> x + 4y = -22

form 2nd equation: x = -4y - 22

sub into 1st equation:

3(-4y-22) - y = 25

-12y - 66 - y = 25

-13y = 91

y = -7

then x = 28-22 = 6

First number is 6, then second is -7

check:

3(6) - (-7) = 25

6 + 4(-7) = -22 , looks good

- algebra -
**toya**, Wednesday, January 25, 2012 at 2:48pm
Three times a number, decreased by 28.

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