SOLUTION: one number is four greater than another number when three times the smaller number is added to twice the larger number the result is 43. Could you please give me the method to w

Question 264507: one number is four greater than another number when three times the smaller number is added to twice the larger number the result is 43.
Could you please give me the method to work it out i know the answer is 7 i just don't know how to get there.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let x = "one number"
let y = "another number"
:
Write an equation for each statement:
:
"one number is four greater than another number"
x = y + 4
:
"when three times the smaller number is added to twice the larger number the result is 43"
3y + 2x = 43
:
Replace x with (y+4), derived from the 1st statement
3y + 2(y+4) = 43
3y + 2y + 8 = 43
5y = 43 - 8
5y = 35
y =
y = 7
:
I'll let you find x
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