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3 years ago

Which method works best to solve the following system of linear equations?

Mathematics

1 answer:

strojnjashka [21]3 years ago

8 0

C I’m not really sure but try

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Solve the system of equations.

Orlov [11]

Answer:

x=-1, y = 2, z = 1

Step-by-step explanation:

We are given with three equations and we are asked to find the solution to them.

2x + 2y + 3z = 5 ------------- (A)

6x + 3y + 6z = 6 --------------(B)

3x + 4y + 4z = 9 ---------------(C)

Step 1 .

multiplying equation (A) by 3 and subtracting B from the result

6x + 6y + 9z = 15

6x + 3y + 6z = 6

- - - = -

_______________

3y+3z=9

y+z=3

y=3-z ----------------- (C)

Step 2.

Substituting this value of y in equation B and C

6x + 3(3-z) + 6z = 6

6x+9-3z+6z=6

6x+3z=-3

2x+z=-1 ----------------(D)

3x + 4(3-z) + 4z = 9

3x+12-4z+4z=9

3x=-3

x=-1 ------------ (E)

Putting this value f x in (D)

2(-1)+z=-1

-2+z=-1

z=1

Now we put this value of z in equation (C)

y=3-z

y=3-1

y=2

Hence we have

x=-1, y=2 and z=1

6 0

4 years ago

Sqr root 8+3 Sqr root 2+ Sqr root 32 simplest form

Kisachek [45]

Answer:

<u> $9\sqrt{2}$ </u>

Step-by-step explanation:

The given question is :

$\sqrt{8} +3\sqrt{2} +\sqrt{32}$

8 = 4 * 2

32 = 16 * 2

$\sqrt{8} =\sqrt{4*2} = 2\sqrt{2} \\\sqrt{32} =\sqrt{16*2} =4\sqrt{2}$

∴ $\sqrt{8} +3\sqrt{2} +\sqrt{32}$

= $2\sqrt{2} +3\sqrt{2} +4\sqrt{2}$

= $9\sqrt{2}$

6 0

4 years ago

A company's sales increased 20% this year, to $6740. What were their sales last year?

Lesechka [4]

The sales last year of the company is 5617

<h3>How to determine the sales last year?</h3>

The given parameters are:

Company sales = 6740

Percentage increase = 20%

The sales of the company last year (x) to date is calculated as:

Company sales = (1 + Proportion) * Last year sales

Substitute the known values in the above equation

6740 = (1 + 20%) * x

Evaluate the sum

6740 = 1.2 * x

Divide both sides by 1.2

x = 5617

Hence, the sales last year is 5617