SOLUTION: 1.3s+1.7f=37.9 5.4s+5.6f=147.2 can you send me the answers and the work if possible

Algebra ->  Systems-of-equations -> SOLUTION: 1.3s+1.7f=37.9 5.4s+5.6f=147.2 can you send me the answers and the work if possible      Log On


   



Question 1154218: 1.3s+1.7f=37.9
5.4s+5.6f=147.2
can you send me the answers and the work if possible

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

1.3s%2B1.7f=37.9......eq.1
5.4s%2B5.6f=147.2.....eq.2
------------------------------------
start with
1.3s%2B1.7f=37.9......eq.1, solve for s
1.3s=37.9-1.7f
s=37.9%2F1.3-1.7f%2F1.3
s=29.15-1.308f........a)
substitute in eq.2
5.4%2829.15-1.308f%29%2B5.6f=147.2.....eq.2, solve for f
157.41+-+7.0632f%2B5.6f=147.2
157.41+-+1.4632f=147.2
157.41+-147.2+=+1.4632f
10.21+=+1.4632f
f=10.21%2F1.4632
f=6.987
go to
s=29.15-1.308f........a), substitute f
s=29.15-1.308%2A6.98
s=29.15-9.12984
s=20.0220

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
1.3s+1.7f=37.9
5.4s+5.6f=147.2
can you send me the answers and the work if possible
Correct answers: highlight_green%28matrix%282%2C3%2Cf%2C+%22=%22%2C+7%2C+s%2C+%22=%22%2C+20%29%29
1.3s + 1.7f = 37.9 ------ eq (i)
5.4s + 5.6f = 147.2____2(2.7s + 2.8f) = 2(73.6)_____2.7s + 2.8f = 73.6 ----- eq (ii)
In order to avoid too many decimals and very large numbers, you can do the following:
1.4s + 1.1f = 35.7 ----- Subtracting eq (i) from eq (ii) ------ eq (iii)
.1s - .6f = - 2.2 ------ Subtracting eq (i) from eq (iii)------ eq (iv)
s - 6f = - 22_____s = 6f - 22 ---- Multiplying eq (iv) by 10 ---- eq (v)
1.3(6f - 22) + 1.7f = 37.9 ------- Substituting 6f - 22 for s in eq (i)
7.8f - 28.6 + 1.7f = 37.9
9.5f = 66.5
highlight_green%28matrix%281%2C5%2C+f%2C+%22=%22%2C+66.5%2F9.5%2C+%22=%22%2C+7%29%29
s = 6(7) - 22 ------ Substituting 7 for f in eq (v)
highlight_green%28matrix%281%2C5%2C+s%2C+%22=%22%2C+42+-+22%2C+%22=%22%2C+20%29%29
You can do the check!!