There are 33 students in the 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 club. Solve by graphing.

Question

There are 33 students in the 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 club. Solve by graphing.

pfenn1 · Answer

if x=number of boys and y= number of girls and the total number of students is 33 then
$$x+y=33$$ If there are 5 more boys than girls, how would you write that in an equation?

anonymous · Answer

(x+5) + y =33

pfenn1 · Answer

Very close. 5 more boys than girls means that the number of boys equals the number of girls plus 5. so$$x=y+5$$So our two equations are: $$x=y+5$$$$x+y=33$$ Plug the expression for x into the second equation and solve for y.

anonymous · Answer

ok - how would I put tht on a graph?

pfenn1 · Answer

You have to graph it?

anonymous · Answer

I think so, there is a blank graph next to the question.

pfenn1 · Answer

what did you get for x and y?

anonymous · Answer

x=19 and y=14

pfenn1 · Answer

So the only thing you can graph is a point where x=19 and y=14, isn't it? Or do they want you to graph each of the equations and that point is where the two lines would cross?

anonymous · Answer

I think they want a graph with each of the equations - two lines