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abruzzese [7]
3 years ago
5

The equation -3(1+x) = -3x + 1 has no solutions. Show algebraically why this is true, and explain your reason

Mathematics
2 answers:
KiRa [710]3 years ago
5 0
−3(1+x)=−3x+1
Step 1: Simplify both sides of the equation.
−3(1+x)=−3x+1
(−3)(1)+(-3)(X)=-3x+1
(Distribute)
−3+ −3x=−3x+1
−3x−3=−3x+1
Step 2: Add 3x to both sides.
−3x−3+3x=-3x+1+3x
−3=1
Step 3: Add 3 to both sides.
−3+3=1+3
0=4
Answer:
There are no solutions.

Helga [31]3 years ago
3 0
There is no solutions is the answer
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Answer:

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Step-by-step explanation:

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I am going to assume we are dilating from (0,0), but again, if there is another part of the question saying where it's from use this method for that as well.

So, from (0,0) the initial point is (-3, 11)  Scaling by a factor of 3 means it gets pushes AWAY so it is 3 times as far away.  (If it were a fraction or decimal it would be getting pulled closer)

Using (0,0) as the dilation point is the easiest because we just have to ask how far are the x and y coordinates away from (0,0) and any number is THAT number away from 0.  

We break this into the two coordinates too.  so how far is -3 from 0?  -3.  so we want a point 3 times as far away, so what is that?  -9.  Same for 11, 11 is 11 away from 0 so we want it 3 times as far, which is 33.

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Step-by-step explanation:

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