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2 years ago

3(x + 10) + 6 = 3(x + 12)

Mathematics

2 answers:

Talja [164]2 years ago

7 0

Answer:

infinitely many solutions / all solutions

Step-by-step explanation:

you distribute 3x+30+6 = 3x+36
combine like terms 3x+36 = 3x+36
realise the 2 terms are the same so x can be anything

Helga [31]2 years ago

6 0

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

3(x + 10) + 6 = 3(x + 12)

Step 2: Solve for x

Distribute 3: 3x + 30 + 6 = 3x + 36
Combine like terms: 3x + 36 = 3x + 36
Subtract 36 on both sides: 3x = 3x
Divide 3 on both sides: x = x

Here we see that x does indeed equal x. We can plug in any number x and it would render the equation true.

∴ x = infinite amount of solutions

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2 years ago

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2 years ago

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nexus9112 [7]

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Step-by-step explanation:

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2 years ago

Lanie is saving money to buy a car. She saved $772 so far. She earns $157 every month. How many months until Lanie has saved $2,

ser-zykov [4K]

Answer:

9 months until Lanie has saved $2,176.

Step-by-step explanation:

Given:

Lanie is saving money to buy a car. She saved $772 so far.

She earns $157 every month.

Now, to find the months until Lanie has saved until $2,176.

Let the number of months Lanie has saved be $x.$

She earns per month = $157.

She saved so far = $772.

According to question:

So, to get the months lanie has saved until $2,176 we write an equation.

$157x+772=2176$

Subtracting both sides by 772 we get:

$157x=1404$

Dividing both sides by 157 we get:

$x=8.95$

So, the number of months nearest to the month = 9.

Therefore, 9 months until Lanie has saved $2,176.

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2 years ago