How do you simplify #8x-6+x-1#?

2 Answers
May 26, 2016

Answer:

It is 9x-7.

Explanation:

The rule is that the numbers goes with numbers and the letters goes with the letters. So first of all you can reorder them as
#8x+x-6-1#. The part with the numbers is easy (only watch out the sign) so you have #8x+x-7#. For the letter you have simply to add the numbers in front of the letters. In one case you have the number #8# (for #8x#) in the other case it seems you have nothing, but when you have nothing in reality it is like having 1 (for #x#).
So it is #8x+1x-7=9x-7#.

May 26, 2016

Answer:

9x - 7

Explanation:

Simplify by #color(blue)"collecting like terms"#

#color(blue)"like terms"" are terms which have the same variable (letter) in them"#

Example: 6x and 4x are like terms as they both have an x in them.

To collect them (simplify) we add/subtract their #color(red)"coefficients"# the numbers in front of them.

so 6x + 4x = 10x and 6x - 4x = 2x

Note that 4x and #2x^2# are NOT like terms

as #x^2" means " x xx x# which is not the same as just x itself.

Using this on the question.

8x - 6 + x - 1 = 8x + x - 6 -1 = 9x - 7

Note the coefficient of x is 1, that is x = 1x