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

Answer 1

Julia Adams

#17x-19y#

Distribute the 6 first.

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

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

Next, disperse the negative 1:

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

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

Mix similar terms together:

#=17x-19y#

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Answer 2

Abigail Allen

#17x - 19y#

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#

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Answer 3

Savannah Anderson

To solve the expression 6(3x - 2y) - (x + 7y), distribute the coefficients and then combine like terms:

6 * 3x - 6 * 2y - x - 7y 18x - 12y - x - 7y (18x - x) + (-12y - 7y) 17x - 19y

So, the simplified expression is 17x - 19y.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.