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grin007 [14]
3 years ago
10

Solve the system of linear equations. separate the x- and y- values with a coma.

Mathematics
1 answer:
kobusy [5.1K]3 years ago
4 0
Solve the following system:
{7 x - 3 y = 37 | (equation 1)
{14 x + 11 y = 23 | (equation 2)
Swap equation 1 with equation 2:
{14 x + 11 y = 23 | (equation 1)
{7 x - 3 y = 37 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{14 x + 11 y = 23 | (equation 1)
{0 x - (17 y)/2 = 51/2 | (equation 2)

Multiply equation 2 by 2/17:
{14 x + 11 y = 23 | (equation 1)
{0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:
{14 x + 11 y = 23 | (equation 1)
{0 x+y = -3 | (equation 2)
Subtract 11 × (equation 2) from equation 1:
{14 x+0 y = 56 | (equation 1)
{0 x+y = -3 | (equation 2)

Divide equation 1 by 14:
{x+0 y = 4 | (equation 1)
{0 x+y = -3 | (equation 2)
Collect results:
Answer: {x = 4
               {y = -3

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if mary earns $247.25 for gardening. if she worked 21.5 hours this month, then how much did she earn per hour?
N76 [4]
She earned 11.5 per hour! And we know this because 247.25 divided by 21.5 = $11.5 per hour ( hope this helps:)
5 0
2 years ago
Explain how to model the division of –24 by –4 on a number line.
lianna [129]

Answer:

Here's one way to do it.

Step-by-step explanation:

-24 ÷ (-4)

-24 is the final number on the number line

-4 means you count by 4s on the number line moving backwards.

  1. Start at 0 facing forward.
  2. Move backwards in steps of four units from 0 to -24.
  3. Count the number of steps you took (six).

Answer: +6 (The sign is + because you are still facing forward).

8 0
3 years ago
Use absolute value notation to represent the distance between x and 8 is no more than 4
ivanzaharov [21]
The distance: use absolute value
Between x and 8: x-8

The distance between x and 8: | x-8 |

“is no more than” means it can be that or be less than that, so use ≤

The distance between x and 8 is no more than 4

| x-8 | ≤ 4
3 0
2 years ago
Please solve quickly
Sloan [31]

The degenerate conic that is formed when a double cone is sliced at the ap-ex by a plane parallel to the base of the cone is a <u>Point</u>.

<h3>What degenerate conic is formed?</h3>

When a plane that is parallel to the base of a double cone is used to slice the ap-ex, the conic section formed is a circle.

Circles lead to a Point degenerate conic being formed because a single point will be formed on the double cone that separates the shape.

Find out more on degenerate conics at brainly.com/question/14276568

#SPJ1

8 0
2 years ago
This equation has one solution.<br> 5(r–1) + 3r =7(r + 1)<br> What is the solution?
Nadusha1986 [10]

Answer:

R=12 is the solution

I don't know how to explain but it needs to be 20 characters

4 0
3 years ago
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