Respuesta :
3(2x+1)=2(x+1)+1
6x+3=2x+2+1
6x+3=2x+3
minus 2x
4x+3=3
minus 3
4x=0
divide by 4
x=0
her work is correct
her conclusion is wrong; there is one solution which is x=0
6x+3=2x+2+1
6x+3=2x+3
minus 2x
4x+3=3
minus 3
4x=0
divide by 4
x=0
her work is correct
her conclusion is wrong; there is one solution which is x=0
We can conclude that her work is correct, but there is one solution rather than no solution.
Solving equations
Given the following equation
3(2x + 1 ) = 2(x + 1) + 1
Expand
6x + 3 = 2x + 2 + 1
Collect the like terms
6x - 2x = 2 + 1 - 3
4x = 0
x = 0
Hence we can conclude that her work is correct, but there is one solution rather than no solution.
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