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Science-Related Homework Help Mathematics Topic started by: ashyV on Aug 19, 2012



Title: How do I solve this linear equation, using the elimination method?
Post by: ashyV on Aug 19, 2012
This is the equation:

12b+7f=685
9b+8f=599

This is my solution:

12b+7f=685                   12b+7f=685
(9b+8f=599)-1 1/3         -12b-10 2/3f= -798 2/3
                                +___________________
                                      -3 2/3f= 113 2/3
                                            f=31

12b+7(31)=685
12b+217=685
    12b=468
      b=39

_____________________________ _______

But for this equation, I can't seem to find the solution:

16n+8s=2.48
14n+11s=2.69

Thank You~


Title: How do I solve this linear equation, using the elimination method?
Post by: FinnBinn on Aug 19, 2012
It is probably best to try and eliminate the s terms. So, multiply the first equation by 11 and the second one by 8. You get this:

176n + 88s = 27.28
112n + 88s = 21.52

Subtract to eliminate. You get:

64n = 5.76
n = 0.09

Solve for s by substituting 0.09 for n.

16(0.09) + 8s = 2.48
1.44 + 8s = 2.48
8s = 1.04
s = 0.13