SOLUTION: The difference of two positive numbers is 264. The larger is three times the smaller number. Find the two numbers. I have to solve the following problem 3 ways. 1. graphing 2. e

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Question 362485: The difference of two positive numbers is 264. The larger is three times the smaller number. Find the two numbers.
I have to solve the following problem 3 ways. 1. graphing 2. elimination 3. subsitution.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the numbers be x & y
x-y = 264..............1
x=3y...................2
...
GRAPH
generate 3 values of y for from x values for both equations.
plot them and get the solution
graph%28500%2C500%2C-20%2C450%2C-300%2C%2B200%2C%28x-264%29%2C%28x%2F3%29%29
..
Elimination
x=y+264
x=3y
multiply by -1
-x=-3y
add to equation 1
-2y=-264
y=132
x= 132+264=396
...
substitution
x-y=264
x=3y
plug value of x in the first equation
3y-y=264
2y=264
y=132
x-y=132
x-132=264
x= 396