SOLUTION: One number is five more than 3 times a second number. If ten is added to -2 times the first number, the result is 30. Find each of the numbers. Please help me!!!!!!!
Algebra ->
Test
-> SOLUTION: One number is five more than 3 times a second number. If ten is added to -2 times the first number, the result is 30. Find each of the numbers. Please help me!!!!!!!
Log On
Question 551296: One number is five more than 3 times a second number. If ten is added to -2 times the first number, the result is 30. Find each of the numbers. Please help me!!!!!!! Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! let a = a number
let b = a second number
:
Write an equation for each statement:
:
"One number is five more than 3 times a second number."
a = 3b + 5
:
"If ten is added to -2 times the first number, the result is 30."
-2a + 10 = 30
-2a = 30 - 10
-2a = 20
a =
a = -10
:
Replace a with -10 on the 1st equation
-10 = 3b + 5
-10 - 5 = 3b
3b = -15
b =
b = -5
:
You can check these solutions in both statements