SOLUTION: There are 72 members of the choir. There are 6 more boys than girls in the choir. a. Write the model of a system for the above situation. b. Do you need to multiply any of the

Question 539571: There are 72 members of the choir. There are 6 more boys than girls in the choir.
a. Write the model of a system for the above situation.
b. Do you need to multiply any of the equations by a constant before solving by elimination? Explain.
Thank you!!!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
There are 72 members of the choir. There are 6 more boys than girls in the choir.
a. Write the model of a system for the above situation.
:
Write an equation for each statement
"There are 72 members of the choir."
b + g = 72
"There are 6 more boys than girls"
b = g + 6
Since you want to use elimination, write like this
b - g = 6
:
b. Do you need to multiply any of the equations by a constant before solving by elimination? Explain.
No
b + g = 72
b - g = 6
-----------adding eliminates g, find b
2b = 78
b = 78/2
b = 39 boys
then
39 + g = 72
g = 72 - 39
g = 33 girls
:
Check the solutions in original equations
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