All categories

3 years ago

Use an inverse matrix to solve for the system of equations.

Mathematics

1 answer:

IrinaK [193]3 years ago

4 0

Answer:

(-1, 7, 2)

Step-by-step explanation:

we suppose that ax + by + cz = d for the matrix

D = det [ 0 4 7] = 100

-6 0 -2

1 2 8

Dx= det [ 14 4 7] = - 100

10 0 -2

-3 2 8

Dy= det [ 0 14 7] = 700

-6 10 -2

1 -3 8

Dz = det [ 0 4 14] = 200

-6 0 10

1 2 -3

So the solution is:

x = Dx/D = -1, y = Dy/D= 7, z =Dz/D = 2

(-1, 7, 2)

have a good day!

You might be interested in

which of the following is the missing reason? Statements Reasons three halves times x plus 5 equals negative 4 Given 3x + 10 = −

den301095 [7]

Answer:

The missing reason is Subtraction Property of Equality.

Step-by-step explanation:

$\frac{3}{2}x+5=-4$ ⇒ (Given)

On Solving we get;

Multiplying 2 on both side we get;

$2(\frac{3}{2}x+5)=-4\times2\\\\2\times \frac{3}{2}x+5\times 2=-4\times 2$

$3x+10=-8$ ⇒ (Multiplication Property of Equality)

Now Subtracting Both side by 10 we get;

$3x+10-10=-8-10$

$3x = -18$ ⇒ (Subtraction Property of Equality)

Now Dividing both side by 3 we get;

$\frac{3x}{3} = \frac{-18}{3}$

$x=-6$ ⇒ (Division Property of Equality)

Hence the missing reason is Subtraction Property of Equality.

8 0

3 years ago

Read 2 more answers

Isabel ran for president of the chess club, and she received 12 votes. There were 15 members in the club. What percentage of the

hammer [34]

Answer:

80%

explanation:

just looked up "what percentage is 12 out of 15 and it gave me an answer"

just do this for all ur other questions like this

4 0

3 years ago

What is the sum of number 13

pychu [463]

Pretty simple, really - all you have to do us divide 509 by 14 before you're left with an answer of <span>36.35. Now, the number '36' is closer to 0 than 100, so we'll round down instead of up, therefore the number of floors to the building is 36! </span>

5 0

3 years ago

Read 2 more answers

How do you do this math??

Elis [28]

Answer:

9.6

Step-by-step explanation:

10 = 8

12 = x

then simply solve for x

3 0