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blushgive examples of linear equation in one variable with one solution,in one variable with one solution,infinitely,many solutions,or no solutions.show which of these possibilities is the case by successively transforming the given equation into simpler forms,until an equation of the form x=a,a=b,ora=a results(where a and b are different numbers(SOLVE)sadblushangry

►i need help with this equation/promblem, i dont get how to do this cause we are bearly learning this??????blushi feel ashamed to ask you guysblush

 Jan 20, 2016
 #1
avatar+129907 
+5

One solution

 

4x + 2 = 6x - 4       subtract 4x form both sides.......add 4 to both sides

 

6  = 2x     divide both sides by 2

 

3 = x

 

Infinite solutions......the equations are exactly the same

 

6x - 8   = 6x - 8     subtract 6x from both sides....add 8 to both sides

 

0 = 0       this will always happen  in equations with infinite solutions

 

 

No solutions......these are easy to spot.......we are adding/subtracting different quantities to like quantities

 

7x + 8  = 7x  - 9

 

Note that this is impossible......we can't add 8 to one thing and have it equal the same thing less 9

 

Doing the math.........subtract 7x from both sides

 

8  =  -9

 

This will always happen when we have no solutions......we will end up with a false statement

 

 

Hope this helped.....!!!

 

 

 

cool cool cool

 Jan 20, 2016

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