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2 years ago

Solve the system by elimination

Mathematics

1 answer:

mihalych1998 [28]2 years ago

4 0

Answer:

(-1, -2)

Step-by-step explanation:

4x - 7y = 10

3x + 2y = -7

The common multiple of the x coefficient is 12.

Multiple 3 to 4 to get 12; 4 to 3 to 12:

3(4x - 7y = 10)

4(3x + 2y = -7)

12x - 21y = 30

12x + 8y = -28

Subtract the two equations:

-29y = 58

y = -2

Substitute y = -2 to either 4x - 7y = 10 or 3x + 2y = -7. Typically, do the easier equation to solve:

3x + 2(-2) = -7

3x - 4 = -7

3x = -3

x = -1

The order pair solution is like a coordinate: (x, y)

You are welcome!

Kayden Kohl

9th Grade Algebra II Student

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The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of

weqwewe [10]

Complete Question:

The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of D is five-halves the measure of Y. Find the measure of each angle of the deck.

Answer:

$\angle G = \angle Y = 51.43 ^{\circ}$

$\angle D = \angle R = 128.57 ^{\circ}$

Step-by-step explanation:

Given

Shape: Parallelogram DGRY

Dimension: $\angle D = \frac{5}{2}\angle Y$

Required

Find the measure of each angle

D and R are opposite sides & G and Y are also opposite sides.

So, we have:

$\angle D = \angle R = \frac{5}{2}\angle Y$

and

$\angle G = \angle Y$

The sum of angles is given as:

$\angle D + \angle G + \angle R + \angle Y=360^{\circ}$

Substitute values for $\angle D, \angle G \ \& \angle R$

$\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}$

Take LCM

$\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}$

$\frac{14\angle Y}{2}= 360^{\circ}$

Multiply both sides by $\frac{2}{14}$

$\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}$

$\angle Y= 360^{\circ} * \frac{2}{14}$

$\angle Y= \frac{ 360^{\circ} *2}{14}$

$\angle Y= \frac{720^{\circ}}{14}$

$\angle Y= 51.43 ^{\circ}$

So:

$\angle G = \angle Y = 51.43 ^{\circ}$

$\angle D = \frac{5}{2}\angle Y$

$\angle D = \frac{5}{2} * 51.43^{\circ}$

$\angle D = \frac{5* 51.43^{\circ}}{2}$

$\angle D = \frac{257.15^{\circ}}{2}$

$\angle D = 128.57 ^{\circ}$

Hence:

$\angle D = \angle R = 128.57 ^{\circ}$

8 0

3 years ago

An XBOX 360 regularly sells for $399. It is on sale for 20% off. What is the sale price of the XBOX 360?

Helga [31]

Answer:

Selling price of the XBOX 360 = $319.20

Step-by-step explanation:

Given that an XBOX 360 regularly sells for $399.

That means marked price of an XBOX 360 = $399

Now we need to find about what is the sale price of the XBOX 360.

Given that it is on sale for 20% off.

Then discount = 20% of $399 = 0.20 (399)= $79.80

Then selling price of the XBOX 360 = (marked price) - (discount)

=399 - 79.80

= $319.20

7 0

4 years ago

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Find the slope of the line

exis [7]

the slope of the line is y = -1/2x -2
<3

6 0

3 years ago

The regular price of a space invader game is $52 but it is on sale. the discount is $13.

Ipatiy [6.2K]

This is a 25% discount.

We can restate this problem as:

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First, let's call the percent we are looking for "p" or p%.

"Percent" or "%" means "out of 100" or "per 100", Therefore p% can be written as p100.

When dealing with percents the word "of" means "times" or "to multiply".

Putting this all together we can write this equation and solve for p while keeping the equation balanced:

$13=p100×$52

$13=$52p100

$13×100$52=$52p100×100$52

$1300$52=$52p100×100$52

$1300$52=$52p100×100$52

130052=p

25=p

3 0

3 years ago

Two trucks are traveling in the same direction, one going twice as fast as the other. At the end of 6 hours they are 204 miles a

TEA [102]

Answer:

34 mph and 68 mph respectively

Step-by-step explanation:

Step one:

given data

let the speed of the first truck be x mph

and the speed of the second truck be 2x mph

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total distance = 204 miles

Step two:

from speed = distance/time

distance= speed*time

hence

2x*6-6x= 204

12x+6x= 204

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divide both side by 6

x= 204/6

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The second truck was moving at

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3 years ago

Solve the system by elimination​

Solve the system by elimination