SOLUTION: whats the difference of double a number and triple another number is 14 the sum of the first number and triple the second number is -11 find the two numbers

Question 942253: whats the difference of double a number and triple another number is 14 the sum of the first number and triple the second number is -11 find the two numbers
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let the two number be a & b
;
write an equation for each statement
:
the difference of double a number and triple another number is 14
2a - 3b = 14
the sum of the first number and triple the second number is -11
a + 3b = -11
:
We can use elimination here
2a - 3b = 14
a + 3b = -11
---------------Addition eliminates b, find a
3a = 3
a = 1
Find b using the 1st equation
2(1) - 3b = 14
-3b = 14 - 2
-3b = 12
b = 12/-3
b = -4
:
find the two numbers; 1 and -4
:
Check them in the 2nd equation
1 + 3(-4) = -11
1 - 12 = -11
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