# math

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a) 3(x+1)+x+2=2(2x+1)+3
I distributed the equation and got 5=5 as my final answer.

b) DON'T UNDERSTAND
is the resulting equation from part (a) always true,sometimes ture, or never true? Explain your reasoning.

• math -

• math -

If you solve an equation and your variables drop out like in the one above, two cases are possible

1. the resulting statement is true , in which case your equation was an "identity" , and it is true for all values of the variable

or

2. the resulting statement is false, in which case there is no solution at all to your equation

3(x+1)+x+2=2(2x+1)+2
you would end up with
5 = 4, a false statement.
Thus your equation would have no solution.

So for your given equation, the statement is always true.

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