Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
We will be using simultaneous equations to solve this problem.
Let's first establish the two equations we will be using.
Let x = smaller number
Let y = larger number
Equation No. 1 -
x + y = 0
Equation No. 2 -
14x + 9y = 1
To begin with, we will make ( x ) the subject in the first equation.
Equation No. 1 -
x + y = 0
x = 0 - y
x = - y
Next we will substitute the value of ( x ) from the first equation into the second equation to solve for ( y ).
Equation No. 2 -
14x + 9y = 1
14 ( - y ) + 9y = 1
- 14y + 9y = 1
- 5y = 1
y = 1 / - 5
y = - 1 / 5
Then we will substitute the value of ( y ) from the second equation into the first equation to solve for ( x ).
Equation No. 1 -
x = - y
x = - ( - 1 / 5 )
x = 1 / 5
FINAL ANSWER:
Therefore, the two numbers 1 / 5 and - 1 / 5.
Hope this helps! :)
Have a lovely day! <3
