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Semenov [28]
3 years ago
12

Solve the system by the elimination method. -2x + y + 6 = 0 2x + y - 8 = 0 When you eliminate x, what is the resulting equation?

2y = 2 2y = -2 y = -2
Mathematics
1 answer:
Natali5045456 [20]3 years ago
5 0

For this case we have the following system of two equations with two unknowns:

-2x + y + 6 = 0\\2x + y-8 = 0

Adding both equations we have to eliminate the variable "x":

y + y + 6-8 = 0

Adding common terms, keeping in mind that different signs are subtracted and the sign of the major is placed:

2y-2 = 0\\2y = 2

Answer:

2y = 2

Option A

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How do you solve this question?
Lady bird [3.3K]

Answer:

\large \boxed{\sf \ \ \ 2x-ln(1-x) \ \ \ }

Step-by-step explanation:

Hello,

for any real x different from 1

\dfrac{3-2x}{1-x}=\dfrac{2-2x+1}{1-x}\\\\=\dfrac{2(1-x)+1}{1-x}\\\\=2\dfrac{1-x}{1-x}+\dfrac{1}{1-x}\\\\=2+\dfrac{1}{1-x}

if f(x)=2x

   f'(x)=2

if g(x)=-ln(1-x)

   g'(x)=\dfrac{-1*-1}{1-x}=\dfrac{1}{1-x}

So antiderivative of

\dfrac{3-2x}{1-x}=2+\dfrac{1}{1-x}

Is

2x-ln(1-x)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
Which expression is equivalent to the following complex fraction?
mamaluj [8]

The equivalent expression of 1 - \frac{1}{x} \div 2 is \frac{2x - 1}{2x}

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

1 minus StartFraction 1 Over x EndFraction divided by 2

Rewrite properly as:

1 - \frac{1}{x} \div 2

Express the division as product

1 - \frac{1}{x} \times \frac 12

Evaluate the product

1 - \frac{1}{2x}

Take the LCM

\frac{2x - 1}{2x}

Hence, the equivalent expression of 1 - \frac{1}{x} \div 2 is \frac{2x - 1}{2x}

Read more about equivalent expression at:

brainly.com/question/27911936

#SPJ1

3 0
2 years ago
Mike installed the window shown. How many square feet is the window? Use 3.14 for pi. Round to the nearest tenth.
Natali [406]

Answer: 3.9ft²

Step-by-step explanation:

Find the area of the rectangle first:

= Length * Width

= 2 * 1.5

= 3 ft²

Find the area of the semi-circle by finding the area of a circle and dividing it by 2:

= πr²

= 3.14 * 1.5/2 * 1.5/2

= 1.76625‬ft²

Divide by 2:

= 1.76625‬/ 2

= 0.88 ft²

Add the area of the rectangle to the semi-circle:

= 3 + 0.88

= 3.9ft²

3 0
3 years ago
1.00
jenyasd209 [6]

Answer:

6

Step-by-step explanation:

Plug in 3 into both expressions

Then add those results

2(3)+21=6+21=27

3-24             =-21

                    -------

                         6  is the sum of 27 and -21

6 0
4 years ago
How can a rational number and irrational number when multiplied together make a irrational number ?
pochemuha

Answer:

"The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational

A better statement would be:

"The product of a non-zero rational number and an irrational number is irrational

6 0
3 years ago
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