Mathematics, 04.08.2019 15:50 daniellealex

2x - y = 5 x + 3y = 7 what is the value of the system determinant? 5 6 72. one number is 7 more than twice another. if their difference is 22, what is the larger number? 29 37 43

Answers: 2

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Answer from: fool2639

Question 1:
For this case we have the following system of equations:
2x - y = 5
x + 3y = 7
We rewrite the system of equations of the form:
Ax = b
Where,
A: coefficient matrix.
x: incognita vector
b: vector solution.
We have then:
$A = \left[\begin{array}{ccc}2&-1\\1&3\\\end{array}\right] 

b = \left[\begin{array}{ccc}5\\7\\\end{array}\right] 

x = \left[\begin{array}{ccc}x\\y\\\end{array}\right]$
We look for the determinant of A.
We have then:
A = (2) * (3) - (-1) * (1)

A = 6 + 1

A = 7

A = (2) * (3) - (-1) * (1)

 A = 6 + 1

 A = 7

Amswer:
the value of the system determinant is:
A = 7

Question 2:
For this case, the first thing we must do is define variables:
x, y: unknown numbers.
We then have the following system of equations:
One number is 7 more than twice another:
y = 2x + 7

their difference is 22:
y - x = 22

Solving the system of equations we have:
x = 15

y = 37

Therefore, the largest number is:
y = 37

the larger number is 37

Answer from: fredorivera

#1) The system determinant is 7. #2) The value of the larger number is 37.

Explanation:
For #1): We find the determinant of the coefficient matrix. This is given in a 2x2 matrix with the first row being the coefficient of x and the coefficient of y from the first equation, and the second row being the coefficient of x and the coefficient of y from the second equation:

$\left[\begin{array}{cc}2&-1\\1&3\end{array}\right]$

To find the determinant, find the cross products; multiply 2*3 (6) and -1*1 (-1).

Subtract the cross products: 6- -1 = 6+1 = 7.

For #2): The first equation would be y=2x+7. The second equation would be y-x=22. We will use subsittution to solve this; plug in 2x+7 for y in the second equation, which gives us 2x+7-x=22.

Combine like terms and we have x+7=22.

Subtract 7 from both sides:
x+7-7=22-7
x=15.

Plug this back into the first equation: y=2*15+7=30+7=37.

Answer from: Quest

step-by-step explanation:

classify each pair of angles as alternate interior, same-side interior, or corresponding angles.

Ineed asap due in the picture, a║b║c. find the value of m∠1+m∠2+m∠3+m∠4+m∠5. a. 360° b. 180° c.

Answer from: Quest

Ais the correct answer - trinomial (three parts) degree of 2 (highest exponent being 2)hope this , and mark brainliest!

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2x - y = 5 x + 3y = 7 what is the value of the system determinant? 5 6 72. one number is 7 mo...

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