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2 years ago

7x-2=5x+14 X=? (step by step needed)

Mathematics

2 answers:

prisoha [69]2 years ago

8 0

Answer:

x = 8

Step-by-step explanation:

Step 1: Subtract 5x from both sides.

$7x-2-5x=5x+14-5x$
$2x-2=14$

Step 2: Add 2 to both sides.

$2x-2+2=14+2$
$2x=16$

Step 3: Divide both sides by 2.

$2x/2=16/2$
$x=8$

Step 4: Check if solution is correct.

$7(8)-2=5(8)+14$
$56-2=40+14$
$54=54$

Therefore, x = 8.

Pie2 years ago

7 0

Answer:

x=8

Step-by-step explanation:

7x-2=5x+14

collect like terms (remember when taking a value across the equality sign name sure the sign of the value changes)

7x-5x=14+2

2x=16

divides both sides by the value of x

x=16/2

x=8

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3 years ago

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Answer:

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1) if to re-write the given equation into slope-interception form, then:

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2 years ago

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3 years ago

In preperation for an easter egg hunt, 4 blue eggs are filled for every 7 green. How many green eggs will be filled if 100 blue

ivann1987 [24]

Answer:

1. Typed question: 175 green eggs

2. Attached: 22 tables

Step-by-step explanation:

For the question you typed down, it is a ratio and proportion problem. You need to solve for the ratio proportional to the first ratio given.

4 blue eggs are filled for every 7 green. This means that the ratio between blue eggs and green eggs is 4:7.

Now yo need to figure out a ratio proportional to 4:7 if 100 blue eggs were filled. Below is how this is set up:

$\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}$

Now let's solve for x:

$\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}\\\\or\\\\\dfrac{4}{7}=\dfrac{100}{x}\\\\Cross-multiply\\\\4x = (7)(100)\\\\4x = 700\\\\Divide\;both\;sides\;by\;4\\\\\dfrac{4x}{4}=\dfrac{700}{4}\\\\x=175$

For your attached problem:

You have a total of 175 people, you need to figure out how many round tables you need if here are 8 chairs for each table You just need to divide the number of people by the number of chairs per table.

175 ÷ 8 = 21.9 tables

Now since you cannot have half a table, you round up to the nearest whole number. (we round up because you need to make sure that all of them are seated)

21.9 ≅ 22 tables.

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4 years ago