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2 years ago

Solve for x. 1/3 x+4=-2/3 x+12

Mathematics

2 answers:

Leona [35]2 years ago

8 0

Answer:

x = 8

Step-by-step explanation:

1. Group all x terms on the left side of the equation

1/3· x+4=-2/3·x+12

Add 2/3x to both sides:

1/3x+4+2/3·x=-2/3x+12+2/3·x

Group like terms:

1/3·x+2/3·x+4=-2/3·x+12+2/3·x

Combine the fractions:

1+2/3·x+4=-2/3·x+12+2/3·x

Combine the numerators:

3/3·x+4=-2/3·x+12+2/3·x

Find the greatest common factor of the numerator and denominator:

1·3/1·3·x+4=-2/3·x+12+2/3·x

Factor out and cancel the greatest common factor:

1x+4=-2/3·x+12+2/3·x

Simplify the left side:

x+4=-2/3·x+12+2/3·x

Group like terms:

x+4=-2/3·x+2/3·x+12

Combine the fractions:

x+4=-2+2/3·x+12

Combine the numerators:

x+4=0/3·x+12

Reduce the zero numerator:

x+4=0x+12

Simplify the arithmetic:

x+4=12

2. Group all constants on the right side of the equation

Subtract 4 from both sides:

x+4-4=12-4

Simplify the arithmetic:

x=12-4

Simplify the arithmetic:

x=8

Mrrafil [7]2 years ago

4 0

Answer:

x=8

Step-by-step explanation:

1/3x +4= -2/3 +12

Subtract 4 from both sides: 1/3x + 4-4 = -2/3x + 12 -4

Simplify: 1/3x = 2/3x + 8

Add 2/3x to both sides: 1/3x + 2/3x = -2/3x + 8 + 2/3x

Simplify: x=8

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Step-by-step explanation:

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2 years ago

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Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin

Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

$\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}$

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

$\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}$

Multiply both the sides by x.

$\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}$

Again multiply both the sides by x

$2x^{2} -2x-12 = 5x^{2} +18x$

$\implies 5x^{2} -2x^{2} +18x +2x +12 = 0$

$\implies 3x^{2} + 18x+2x + 12 = 0$

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

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1 year ago

1 4/7 _______ - 15/ 21

Sati [7]

Answer: -11/5

Step-by-step explanation:

$\frac{11}{7}$ ÷ $\frac{-15}{21}$

- $\frac{11}{7}$ × $\frac{21}{15}$

-11× $\frac{3}{15}$

-11 × $\frac{1}{5}$

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3 years ago

What is the area of a triangle whose vertices are J(−2, 1) , K(4, 3) , and L(−2, −5) ?

MArishka [77]

Hello,

J (-2,1), K (4,3), and L (-2,-5)
Area of triangle: 18.00


REMEMBER: Notice that one side is vertical. Use that side as base.


Once again, Your answer is 18.

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3 years ago

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