One number is 2 more than 5 times another. Their product is 72. Find the numbers.

Question

anonymous · Answer

can somebody show me how to set the equation?

anonymous · Answer

xy=72
x=5y+2

anonymous · Answer

a*b=72? what about the other one.  2+5a=b?

anonymous · Answer

yeah

anonymous · Answer

so x=-2/5?

anonymous · Answer

i mean a =-2/5

anonymous · Answer

try it find b then check

anonymous · Answer

i got b = 144/5 somehow lol

anonymous · Answer

and btw theres 2 sets of values

anonymous · Answer

you have a quadratic equation so should have two answers right?

anonymous · Answer

question, what exactly is a quadratic equation? lol

anonymous · Answer

$$x(5x+2)=72$$
$$5x^2+2x-72=0$$ etc

anonymous · Answer

equation where the largest exponent is 2

anonymous · Answer

something that involves factoring and it HAS TO HAVE an equal sign?

anonymous · Answer

xy=72
x=5y+2
y(5y+2)=72
5y^2+2y-72=0
y=-4===>x=-18
and
y=....
x=....

anonymous · Answer

it has to have an equal sign to be an equation.  it has to have degree two to be quadratic

anonymous · Answer

at ok, thanks for the explanation!

anonymous · Answer

factoring is a method of solving. in this case you get 
$$5x^2+2x-72=(5x-18)(x+4)=0$$
$$x=-4,x=\frac{18}{5}$$

anonymous · Answer

and the other set of numbers would probably be 8 and 9?

anonymous · Answer

halp?

anonymous · Answer

x=20 y=18/5

anonymous · Answer

hey satellite, i just wanted to let you know i input your answers and they told me i was incorrect, so i went with ghass and they were right :P thanks for your help though.