How do you solve #6( 3x - 2y ) - ( x + 7y )#?

2 Answers
Oct 6, 2017

Answer:

#17x-19y#

Explanation:

Start by distributing the 6:

#color(red)(6(3x-2y))-(x+7y)#

#=color(red)(18x-12y)-(x+7y)#

Then distribute the negative 1:

#18x-12ycolor(blue)(-1(x+7y))#

#=18x-12ycolor(blue)(-x-7y)#

Combine like terms:

#=17x-19y#

Oct 6, 2017

Answer:

#17x - 19y#

Explanation:

You can find the answer using the distributive property. This means that the #2# terms inside the brackets are multiplied by what's outside the brackets.

Therefore, the #3x# and the #-2y# are multiplied by #6#, and the #x# and #7y# are multiplied by #-1#. Then you gather like terms to get your answer of #17x - 19y#.

#6 * 3x + 6 * (-2y) -x - 7y#

#18x - 12y - x - 7y#

#17x - 19y#