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3 years ago

3(4x+2)-6x=5x-5(2+x) please solve show your work do not solve for x

Mathematics

1 answer:

pshichka [43]3 years ago

5 0

Answer:

simplifies to 6x+6=-10
x = -8/3 = -2 2/3

Step-by-step explanation:

3(4x+2)-6x=5x-5(2+x)

12x +6 -6x = 5x -10 -5x . . . . . eliminate parentheses using the distributive property

6x +6 = -10 . . . . . . . . . . . . . . . collect terms

x +1 = -10/6 . . . . . . . . . . . . . . . divide by 6

x = -1 - 5/3 . . . . . . . . . . . . . . . add -1

x = -8/3 . . . . . . . . . . . . . . . . . simplify

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From the question, we're told that triangles AMY and MEG are similar. If triangle AMY has sides AM = 5, MY = 7, and AY = 3 then we can find the side lengths of triangle MEG since we're told from the question that it is a dilation of AMY by a scale factor of 1/3.

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Remember
(x^m)(x^n)=x^(m+n)
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if a^m=a^n, where a=a then n=m

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3(4x+2)-6x=5x-5(2+x) please solve show your work do not solve for x​

3(4x+2)-6x=5x-5(2+x) please solve show your work do not solve for x