Question

Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50.

Let x be the smaller number and y be the larger number.

Create a system and graph it to find the solution.

What are the two numbers?

x =
and y =

Answer 1

3y = 5x+30 , y+5x = 50

using elimination method ...

3y-5x=30
+ y+5x=50
——————
4y = 80
y= 20

so using one of the original equations..

20 + 5x = 50
5x = 30
x =6

x = 6
y = 20

Answer 2

x=6 and y=20 just took a test

Explanation: