SOLUTION: Would you please answer 2(a-8)+7=5(a+2)-3a-19 please give the steps, thanks!

Algebra ->  Systems-of-equations -> SOLUTION: Would you please answer 2(a-8)+7=5(a+2)-3a-19 please give the steps, thanks!      Log On


   

Question 112223This question is from textbook McDougal Littell
: Would you please answer 2(a-8)+7=5(a+2)-3a-19 please give the steps, thanks! This question is from textbook McDougal Littell

Found 2 solutions by checkley71, jim_thompson5910:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
2(A-8)+7=5(A+2)-3A-19
2A-16+7=5A+10-3A-19
2A-5A+3A=10-19+16-7
5A-5A=26-26
0A=0
0=0 DOESN'T SOLVE FOR A?????????

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%28a-8%29%2B7=5%28a%2B2%29-3a-19 Start with the given equation



2a-16%2B7=5a%2B10-3a-19 Distribute


2a-9=5a%2B10-3a-19 Combine like terms on the left side


2a-9=2a-9 Combine like terms on the right side


2a=2a-9%2B9Add 9 to both sides


2a-2a=-9%2B9 Subtract 2a from both sides


0a=-9%2B9 Combine like terms on the left side


0a=0 Combine like terms on the right side


0=0 Simplify

Since this equation is always true for any "a" value, this means "a" can equal any number. So there are an infinite number of solutions.