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agasfer [191]
2 years ago
5

Using Cramer's Rule, the solution to the system of equations

Mathematics
1 answer:
Schach [20]2 years ago
7 0

Using Cramer's rule it is found that Dx = -34.

In Cramer's rule, we have three matrices.

  • x is a matrix in which the first column is the coefficients that multiply x, and the second are the coefficients on the right side of the equality.
  • y is a matrix in which the first column is composed by the coefficients on the right side of the equality and the second is the coefficients that multiply y.
  • M is a matrix in which the first column is the coefficients that multiply x, and the second is the coefficients that multiply y.

In this problem, the system is:

6x - 5y = -4

-7x + 3y = -1

Matrix x is given by:

x = \left[\begin{array}{ccc}6&-4\\-7&-1\\\end{array}\right]

It's determinant is given by:

Dx = 6(-1) -(-4)(-7) = -6 - 28 = -34

Thus, Dx = -34.

A similar problem is given at brainly.com/question/24749091

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What is the value of x?
Akimi4 [234]
(2x + 2) = (3x + -52)

Reorder the terms:
(2 + 2x) = (3x + -52)

Remove parenthesis around (2 + 2x)
2 + 2x = (3x + -52)

Reorder the terms:
2 + 2x = (-52 + 3x)

Remove parenthesis around (-52 + 3x)
2 + 2x = -52 + 3x

Solving
2 + 2x = -52 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
2 + 2x + -3x = -52 + 3x + -3x

Combine like terms: 2x + -3x = -1x
2 + -1x = -52 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -1x = -52 + 0
2 + -1x = -52

Add '-2' to each side of the equation.
2 + -2 + -1x = -52 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -52 + -2
-1x = -52 + -2

Combine like terms: -52 + -2 = -54
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Divide each side by '-1'.
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4 0
3 years ago
Please help me because I don't understand how to do it.:)
Fofino [41]

Answer:

V =84.78 inches ^2

Step-by-step explanation:

The volume of a cylinder is given by

V= pi *r^2 h

We know h= 12 inches

and r = 1.5 inches

V = pi * (1.5)^2 * 12

V = pi * 2.25*12

V = 27 pi

If we approximate by 3.14

V = 3.14 (27)

V =84.78 inches ^2


6 0
3 years ago
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