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give 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)it says that solve linear equations with rational number coefficients,including equations whose solutions required expanding expresions using the distributive property and collecting like terms(justification of each step
THIS QUESTION WAS ANSWERED YESTERDAY BY CPhill. HERE IS HIS ANSWER. WHY DID YOU POST AGAIN?
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.....!!!
Jan 20, 2016 1:58:55 AM
