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2 years ago

Solve by elimination 5x+6y =-2 15x + 4y= 22

Mathematics

2 answers:

Ipatiy [6.2K]2 years ago

8 0

Answer:

(2,-2)

Step-by-step explanation:

sineoko [7]2 years ago

7 0

Answer:

(2, -2)

Step-by-step explanation:

Multiply the first equation by -3,and multiply the second equation by 1.

−3(5x+6y=−2)

1(15x+4y=22)

Becomes:

−15x−18y=6

15x+4y=22

Add these equations to eliminate x:

−14y=28

Then solve−14y=28for y:

−14y=28

−14y

−14

(Divide both sides by -14)

y=−2

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

5x+6y=−2

Substitute−2foryin5x+6y=−2:

5x+(6)(−2)=−2

5x−12=−2(Simplify both sides of the equation)

5x−12+12=−2+12(Add 12 to both sides)

5x=10

(Divide both sides by 5)

x=2

Answer:

x=2 and y=−2

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The equation (2x^2 - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2) is an example

Nookie1986 [14]

The method used is Distributive Property.

<h3>What is Distributive property?</h3>

The Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis.

Given:

(2x² - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2)

Here the property used is Distributive property.

Because distributive property in this way

a*(b+c)= a*b+ a*c

This is how a is being multiplied by with b and c.

Learn more about this Distributive property here:

brainly.com/question/4136433

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8 0

1 year ago

If the geometric mean of a and 28 is 16 sqrt 7 find a

kozerog [31]

Answer:

a = 64

Step-by-step explanation:

The geometric mean of 2 numbers a and b is $\sqrt{ab}$ , then

$\sqrt{28a}$ = 16 $\sqrt{7}$ ( square both sides )

28a = (16 $\sqrt{7}$ )² = 1792 ( divide both sides by 28 )

a = 64

8 0

2 years ago

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A line passing through the points (6, –2) and (–2, 4). Complete the work shown: 1. Use slope formula to find the slope. 2. Subst

Dennis_Churaev [7]

Answer:

2.5

Step-by-step explanation:

8 0

2 years ago

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In a company, 80% of the workers are women. If 480 men work for the company, how many workers are there in all? Use pencil

nekit [7.7K]

Answer:

The total workers are 2400.

Step-by-step explanation:

Given:

In company 80% of the workers are women.

480 workers are men.

Now, to find the total workers in all.

In first way:

If women are 80%, then men would be 100-80 = 20%.

Let the total workers be $x$ .

According to question:

$20\%\ of \ x=480$

⇒ $\frac{20}{100} \times x=480$

⇒ $0.20\times x=480$

⇒ $0.20x=480$

Dividing both sides by 0.20 we get:

⇒ $x=2400$ .

Total workers = 2400.

Now, in second way.

Again, let the total workers be $x$ .

According to question:

$x-80\%\ of\ x=480$

⇒ $x-\frac{80}{100}\times x=480$

On solving:

⇒ $x-0.80x=480$

⇒ $0.20x=480$

Dividing both sides by 0.20 we get:

⇒ $x=2400$ .

Total workers = 2400.

Therefore, the total workers are 2400.

7 0

2 years ago

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kirza4 [7]

Answer:

75 pieces

Step-by-step explanation:

4 0

3 years ago

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