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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