Homework Help: Math

Posted by Alexis on Tuesday, January 29, 2013 at 9:13pm.

Sustem of equations. I have to solve the system of equations by graphing and solving.

Ther are thirty-three students in the Chess Club. There are five more boys than girls in the club. Write and solve a system of equations to find the number of boys and girls in the chess club.

Math - Reiny, Tuesday, January 29, 2013 at 9:20pm
number of boys --- x
number of girls ---- y

x+y = 33

x-y = 5

add them:
2x = 38
x=19
then in the first:
x+y=33
19+y = 33
y = 33-19 = 14

We have 19 boys and 14 girls

check:
do we have 33 students ? yes
do we have 5 more boys than girls? YES!!!!

To graph this
first equation:
pick any two points so that x+y = 33
e.g. (15,18) and (5,28) , join them

2nd equation:
pick any two points so that x-y = 5
e.g.( 10,5) and (20,15) , join them

the two lines should intersect at (19,14)

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