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Sonja [21]
3 years ago
6

2-(3x-4)=2x-9 Please give step by step answer!! Thanks!

Mathematics
2 answers:
kirza4 [7]3 years ago
7 0

Simplify both sides of the equation

2-(3x-4)=2x-9

2+-1(3x-4)=2x-9

Distribute the negative sign

2+-1(3x)+(-1)(-4)=2x-9

2+-3x+4=2x-9

2+-3x+4=2x+-9

Combine like terms

(-3x)+(2+4)=2x-9

-3x+6=2x-9

Subtract 2x from both sides

-3x+6-2x=2x-9-2x

-5x+6=-9

Subtract 6 from both sides

-5x+6-6=-9-6

-5x=-15

Divide both sides by -5

-5x/5=-15/-5

x=3


I hope that's help !


egoroff_w [7]3 years ago
4 0
First put the -1 into the 3x and -4, so it looks like 2-3x+4=2x-9, then combine 2 and 4, (-3x+6=2x-9), then subtract 2x from both sides (-5x+6=-9) then subtract 6 to both sides so -5x=-15, then divide by 5 so x=3 hope this helps!! sorry i messed up the first time
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Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2 3 of the way there.
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Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2/3 of the way there.   How many more hours  does Liza have to drive?

<em><u>Answer:</u></em>

Liza need to drive 2 more hours to reach her sister house

<em><u>Solution:</u></em>

Given that Liza is driving to her sister's house 360 miles away

So total distance = 360 miles

After 4 hours, Liza is 2/3 of the way there.

\frac{2}{3} r d \text { of total distance }=\frac{2}{3} \times 360=240

So Liza has covered 240 miles in 4 hours

Let us find the speed

<em><u>The relation between distance and speed is given as:</u></em>

speed = \frac{distance}{time}

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Thus speed = 60 miles per hour

Assuming speed is same throughout the journey, let us calculate the time taken to complete remaining distance

Remaining distance = 360 - 240 = 120 miles

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time taken = \frac{distance}{speed}\\\\time taken = \frac{120}{60} = 2

Thus Liza need to drive 2 more hours to reach her sister house

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You start collecting loose coins in a jar from laundry. You are hoping that the jar has $5. The jar consist of nickles and quart
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Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-
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She invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.

<h3><u>Distributions</u></h3>

Given that Sylvia invested a total of $27,000, and she invested part of the money in a certificate of deposit (CD) that earns 3% simple interest per year, she invested in a stock that returns the equivalent of 7% simple interest, and she invested in a bond fund that returns 2%, and she invested three times as much in the stock as she did in the CD, and earned a total of $1140 at the end of 1 yr, to determine how much principal did she put in each investment, the following calculation must be made:

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Therefore, she invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.

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