Question 146071
5a+24b=109.60
5a=109.6-24b
a=109.6/5-24b/5
now substitute (109.6/5-24b/5) for a in the other equation & solve for b. 
16a+24b=171
16(109.6/5-24b/5)+24b=171
1753.6/5-384b/5+24b=171
-384b/5+24b=171-1753.6/5
(-384b+5*24b)/5=(5*171-1753.6)/5
(-384b+120b)/5=(855-1753.6)/5
264b/5=898.6/5 csncelling out the denominators we have:
264b=898.6
b=989.6/264 answer.
16a+24(898.6/264)=171
16a+21566.4/264=171
16a=171-21566.4/264
16a=(171*264-21566.4)/264
16a=(45144-21566.4)/264
16a=23577.6/264
a=(23577.6/264)(1/16)
a=23577.6/4224
a=61.4/11 answer.