Posted by Alexis on .
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.
number of boys --- x
number of girls ---- y
x+y = 33
x-y = 5
2x = 38
then in the first:
19+y = 33
y = 33-19 = 14
We have 19 boys and 14 girls
do we have 33 students ? yes
do we have 5 more boys than girls? YES!!!!
To graph this
pick any two points so that x+y = 33
e.g. (15,18) and (5,28) , join them
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)