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Ahat [919]
3 years ago
7

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

Mathematics
1 answer:
zaharov [31]3 years ago
3 0

Answer:

x=−1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(2−3x)=3(3+x)+4

(2)(2)+(2)(−3x)=(3)(3)+(3)(x)+4(Distribute)

4+−6x=9+3x+4

−6x+4=(3x)+(9+4)(Combine Like Terms)

−6x+4=3x+13

−6x+4=3x+13

Step 2: Subtract 3x from both sides.

−6x+4−3x=3x+13−3x

−9x+4=13

Step 3: Subtract 4 from both sides.

−9x+4−4=13−4

−9x=9

Step 4: Divide both sides by -9.

−9x /−9  =  9 /−9

x=−1

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michelle bought the same fabric on 3 different occasions and recorded the data below what was the price per yard of fabric? answ
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Please consider the complete question.

Michelle bought the same fabric on 3 different occasions and recorded the data below.

Yards of Fabric         Total Cost

2.2                             $2.53

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What was the price per yard of fabric?

To find the cost per yard of fabric, we will divide cost of yards by number of yards.

\text{Cost per yard}=\frac{\text{Cost}}{\text{Number of yards}}

\text{Cost per yard}=\frac{\$2.53}{2.2\text{ yards}}

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Let us find cost per yard using 2nd set of data.

\text{Cost per yard}=\frac{\$4.14}{3.6\text{ yards}}

\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}

Similarly we will find cost per yard for 3rd set of data.

\text{Cost per yard}=\frac{\$4.83}{4.2\text{ yards}}

\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}

Therefore, the cost per yard of fabric is $1.15.

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