Questions on Word Problems: Numbers, consecutive odd/even, digits answered by real tutors!

You can put this solution on YOUR website!
"The sum of two numbers is 1." translates to


"Their difference is 3." translates to



Start we have the system of equations:




Let's solve the system by use of substitution


Now in order to solve this system by using substitution, we need to solve (or isolate) one variable. I'm going to solve for y.




So let's isolate y in the first equation

Start with the first equation


Subtract from both sides


Rearrange the equation



---------------------

Since , we can now replace each in the second equation with to solve for



Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.



Distribute the negative


Combine like terms on the left side


Add 1 to both sides


Combine like terms on the right side


Divide both sides by 2 to isolate x



Divide





-----------------First Answer------------------------------


So the first part of our answer is:









Since we know that we can plug it into the equation (remember we previously solved for in the first equation).



Start with the equation where was previously isolated.


Plug in


Multiply


Combine like terms



-----------------Second Answer------------------------------


So the second part of our answer is:









-----------------Summary------------------------------

So our answers are:

and



So the smaller of the two numbers is -1

You can put this solution on YOUR website!
Well, Let "x" be the 1st #
"y" be the 2nd number
In 1st condition, -------------eqn 1
In 2nd condition, -------------eqn 2
In eqn 1 we get right? substitute this to eqn 2,



And the other # as per eqn 1,

So, the smaller # is
In doubt? Go either eqn, okay we use eqn 2,

Thank you,
Jojo