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math word problems HELP?
Here:
The difference between two numbers is 12. 4 times the larger number decreased by 25 equals 48 increased by 3 times the smaller number. Find the numbers by using substitution method.
I already know the answer but I dont know how to get there
1 Answer
- ?Lv 78 years agoFavorite Answer
x - y = 12 ---> x = 12 + y
4x - 25 = 3y + 48
now sub 12 + y in for x in the 2nd equation...
4(12 + y) - 25 = 3y + 48 (distribute the 4 through the parenthesis)
48 + 4y - 25 = 3y + 48 (combine like terms)
23 + 4y = 3y + 48 (get the x's on one side and everything else on the other side)
4y - 3y = 48 - 23
y = 25
now sub 25 in for y in the 1st equation...
x - y = 12
x - 25 = 12
x = 12 + 25
x = 37
check....
4x - 25 = 3y + 48
4(37) - 25 = 3(25) + 48
148 - 25 = 75 + 48
123 = 123 (correct)
ANSWER : x = 37 and y = 25.....(37,25)