Posted by Alexis on .
Sustem of equations. I have to solve the system of equations by graphing and solving.
Ther are thirtythree 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,
number of boys  x
number of girls  y
x+y = 33
xy = 5
add them:
2x = 38
x=19
then in the first:
x+y=33
19+y = 33
y = 3319 = 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 xy = 5
e.g.( 10,5) and (20,15) , join them
the two lines should intersect at (19,14)