Monday

January 26, 2015

January 26, 2015

Posted by **math help** on Friday, November 23, 2012 at 9:58pm.

I distributed the equation and got 5=5 as my final answer.

b) DONT UNDERSTAND

is the resulting equation from part (a) always true,sometimes ture, or never true? Explain your reasoning.

- math -
**math help**, Friday, November 23, 2012 at 10:09pmplease help me

- math -
**Reiny**, Friday, November 23, 2012 at 10:58pmIf 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

e.g. If your equation had been

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.

**Answer this Question**

**Related Questions**

Math - a.)If ABCD is a parallelogram, then ABCD is (always true, sometimes true...

math - Determine whether the statement is always true, sometimes true, or never ...

geometry - Is it always true, sometimes true, or never true that the centroid is...

Chemistry check - Can someone make sure I have the right answer. The question is...

Calculus theory - Determine if the statement is always true, sometimes true, or ...

basic math - Is it always true, sometimes true, or never true that a regular ...

Chemistry (Check) - Classify each of these statements as always true, sometimes ...

Algebra - A positive integer minus a positive integer is always positive. This ...

Geometry - Is it always true, sometimes true, or never true that the ...

Pre-Calculus - Graphing Polynomials Decide whether each of the following is ...