28i-49+36i^2-63i
This is the right answer from your problem
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Answer:
Her sign is in error. The answer is -3/8.
Step-by-step explanation:
Nancy's answer has the correct magnitude. It is obtained by multiplying 1/4 by -3/2. However, the sign of that product will be negative. Nancy has reported a positive answer, so <em>it is incorrect</em>.
To answer this question we will have to keep the following two points in mind:
#1. The <u>sum</u> of a number with another number means to <u>add </u>the given two numbers.
#2.<u> Twice</u> means to <u>multiply by 2.</u> In other words it means to double.
Therefore, "twice the sum" would mean to multiply the sum by 2.
Now, in our question we will have, "the sum of y and 9 would be:
and twice this sum would be: 
Thus, "twice the sum of y and 9" is: 
Multiply all terms by x and cancel:<span><span>6+<span>2x</span></span>=<span><span>3x</span>4</span></span><span><span><span>2x</span>+6</span>=<span><span>34</span>x</span></span>(Simplify both sides of the equation)<span><span><span><span>2x</span>+6</span>−<span><span>34</span>x</span></span>=<span><span><span>34</span>x</span>−<span><span>34</span>x</span></span></span>(Subtract 3/4x from both sides)<span><span><span><span>54</span>x</span>+6</span>=0</span><span><span><span><span><span>54</span>x</span>+6</span>−6</span>=<span>0−6</span></span>(Subtract 6 from both sides)<span><span><span>54</span>x</span>=<span>−6</span></span><span><span><span>(<span>45</span>)</span>*<span>(<span><span>54</span>x</span>)</span></span>=<span><span>(<span>45</span>)</span>*<span>(<span>−6</span>)</span></span></span>(Multiply both sides by 4/5)<span>x=<span><span>−24</span>5</span></span>Check answers. (Plug them in to make sure they work.)<span>x=<span><span><span>−24</span>5</span></span></span>