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sasho [114]
3 years ago
8

Use Cramer's Rule to solve the following system: –2x – 6y = –26 5x + 2y = 13

Mathematics
1 answer:
andriy [413]3 years ago
4 0
\bf \begin{cases}
-2x-6y&=-26\\
\quad 5x+2y&=13
\end{cases}\stackrel{\textit{determinant of the coefficients}}{D=
\begin{bmatrix}
-2&-6\\5&2
\end{bmatrix}}\implies (-4)-(-30)
\\\\\\
D=-4+30\implies \boxed{D=26}\\\\
-------------------------------\\\\

\bf x=\cfrac{D_x}{D}\implies x=\cfrac{
\begin{bmatrix}
\boxed{-26}&-6\\\\ \boxed{13}&2
\end{bmatrix}}{D}\implies x=\cfrac{(-52)-(-78)}{26}
\\\\\\
x=\cfrac{-52+78}{26}\implies x=\cfrac{26}{26}\implies \boxed{x=1}\\\\
-------------------------------\\\\
y=\cfrac{D_y}{D}\implies y=\cfrac{
\begin{bmatrix}
-2&\boxed{-26}\\\\ 5&\boxed{13}
\end{bmatrix}}{D}\implies y=\cfrac{(-26)-(-130)}{26}
\\\\\\
y=\cfrac{-26+130}{26}\implies y=\cfrac{104}{26}\implies \boxed{y=4}
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What are the 5 infinitives?
Ymorist [56]

The five types of infinitives are full infinitives, bare infinitives, split infinitives, continuous infinitives , and perfect continuous infinitive.

Explanation:

Types of infinitives:

Five types of infinitives are as follow:

  • Full infinitives : Add 'to' Infront of the verb to complete the the situation.
  • Bare infinitives: here " to" get omitted from the sentence.
  • Split infinitives : Here adjectives slides between infinitives marker.

To hear : full infinitives changes to split infinitives : to slowly hear.

  • Continuous infinitives: Action going for certain period of required time.

Example : to be missing

  • Perfect continuous infinitives: prior to a time :

Example : to have seen

Therefore, there are are five types of infinitives .

Learn more about infinitives here

brainly.com/question/1219442

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5 0
11 months ago
find two positive even consecutive integers such that a square of the smaller integer is 10 more than the larger integer
nalin [4]

Answer:

the two positive consecutive integers are 4 and 6.

Step-by-step explanation:

Let the smaller integer be s; then s^2 = (s + 2) + 10.

Simplifying, s^2 - s - 2 - 10 = 0, or

s^2 - s - 12 = 0.

Solve this by factoring:  (s - 4)(s + 3) = 0.

Then s = 4 and s = -3.

If the first even integer is 4, the next is 6.  We omit s = -3 because it's not even.

The smaller integer is 4.  Does this satisfy the equation s^2 = (s + 2) + 10?

4^2 = (4 + 2) + 10  True or False?

16 = 6 + 10 = 16.

True.

So the two positive consecutive integers are 4 and 6.

6 0
3 years ago
(5x10,000) +(2x100) +(9x1) +(3x1/1000)​
zubka84 [21]
Scientific notation:
5.0209003 x 10^4
7 0
3 years ago
A rectangular table top needs to be divided into six equal sections. Suppose that you are only able to determine the halfway mar
Ierofanga [76]

Answer:

yes

Step-by-step explanation:

5 0
3 years ago
(3,6) (3,7) (-2,-5) (-9,11) is it a function a relation, or both
amid [387]

It is a relation but not a function

Step-by-step explanation:

Given

(3,6) (3,7) (-2,-5) (-9,11)

First of all we have to define both terms: Relation and Function

A relation is a set of ordered pairs containing one element from each set

A relation can be a function only if there is no repetition in domain i.e. no first element in each ordered pair should be repeated.

In the given set of ordered pairs, they are relation as all the ordered pairs have two values.

While the given relation is not a function, as there is repetition in first elements of two ordered pairs i.e. 3 is repeated in (3,6) (3,7)

Hence,

It is a relation but not a function

Keywords: Functions, Relations

Learn more about functions at:

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6 0
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