How many solutions can be found for the linear equation? 3(x+4)=3x+4

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20-05-2018
Mathematics

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How many solutions can be found for the linear equation? 3(x+4)=3x+4

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MarkV MarkV · Answer 1 · 2018-05-20T18:36:24+02:00

Hi there! The answer is 0 solutions.

[tex]3(x + 4) = 3x + 4[/tex]
First we need to work out the parenthesis (for instance possible by using rainbow technique).

[tex]3x + 12 = 3x + 4[/tex]
Now subtract 12.

[tex]3x = 3x - 8[/tex]
Now we can see that the right side of the equation is always 8 smaller than the left side of the equation. Because the right is always smaller, this equation cannot be solved. Therefore there are no solutions to this equation. The answer is 0 solutions.