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3 years ago

Solve the system by using a matrix equation 3x-5y=3 3x-4y=3

Mathematics

2 answers:

natka813 [3]3 years ago

6 0

Answer: B. (1,0)

Step-by-step explanation:

1. We will use the matrix method to solve this problem.

3 -5 3

3 -4 3

2. Apply to Row2 : Row2 - Row1.

3 -5 3

0 1 0

3. Simplify rows.

3 -5 3

0 1 0

Note: The matrix is now in row echelon form.

The steps below are for back substitution.

4. Apply to Row1 : Row1 + 5 Row2.

3 0 3

0 1 0

5. Simplify rows.

1 0 1

0 1 0

Note: The matrix is now in reduced row echelon form.

6. Therefore,

x=1

y=0

or (1,0).

babunello [35]3 years ago

3 0

Answer:

The correct answer is B. (1,0).

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It takes Bobby 12 hours longer to build a robot than it takes Alex. Together, they can build the Robot in 8 hours. How long does

anyanavicka [17]

Answer:

24 hours

Step-by-step explanation:

The computation of the number of hours taken by Bobby to build the robot by himself is shown below:

Given that

Bobby could take 12 hours

Together they could build in 8 hours

So based on the above information

the number of hours taken by Bobby to build the robot by himself is

Let us assume the above line be x

So,

$\frac{1}{8}-\frac{1}{12} = \frac{1}{x} \\\\\frac{6 - 4}{48} = \frac{1}{x} \\\\\frac{2}{48} = \frac{1}{x} \\\\x = \frac{48}{2}$

x = 24 hours

6 0

3 years ago

( Identify the terms, their coefficients for each of the following expressions)

sweet-ann [11.9K]

Answer:

i. terms = 5xy(z)^2 , -3zy

coefficient = 5 and -3

ii. terms = 1 , X ,x^2

coefficient = 1 , 1

iv. terms = 3 , -pq , qr, -rp

coefficient = -1 ,1 , -1

v. terms = X/2 , y/2 , -xy

coefficient= 1/2 ,1/2 and -1

7 0

3 years ago

Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the

Tcecarenko [31]

Answer:

The value of x is 10

Step-by-step explanation:

We can use a system of equations to solve this.

Cups of 25% bleach solution used = x

Cups of 1-% bleach solution used = 5

Cups of solution we get = y

The first equation becomes:

x + 5 = y

Using the decimal forms of each percentage solution

25% solution for x cups = 0.25x

10% solution for 5 cups = 0.1(5)

20% solution for y cups = 0.2 y

The second equation becomes:

0.25x + 0.1(5) = 0.2y

So the system of equations is:

x + 5 = y

0.25x + 0.1(5) = 0.2y

Solve both equations simultaneously to find the values of x and y:

x = 10 cups

y = 15 cups

8 0

3 years ago

Read 2 more answers

Two more than 5 times a number is 77. Find the number

Ede4ka [16]

Answer:

Step-by-step explanation:

5x + 2 = 77

5x = 77 - 2

5x = 75

5x/5 = 75/5

x = 15

3 0

3 years ago

You own 50 of Xenon Corporation's 5500 Shares. You purchased them at $75 each. The company decides to issue a dividend of 55,000

Advocard [28]

Answer:

Step-by-step explanation:

Your first step is to figure out how much money each share gets. In other words, what's their cut of the dividend?

Formula

Dividend / share = Total dividend / Total number of shares.

ROI = dividend / Cost * 100

Givens

# shares owned = 50

Total shares issued = 5500

Dividend total = 55000

Cost of 1 share = 75

Note Not all the information is needed.

Solution

dividend / share = 55000 / 5500

dividend / share = 10 dollars.

ROI = 10/75 * 100

ROI = 13.3 %

5 0

3 years ago