Ask question

Ask question

All categories

3 years ago

7

Solve for x,y, and z

1 answer:

Lostsunrise [7]3 years ago

3 0

Equation 1) 3x + 2y - 5z = 3
Equation 2) 4x - 2y - 3z = -10
Equation 3) 5x - 2y - 2z = -11

Add equation 1 with equation 2.

Equation 4) 7x - 8z = 7

Then subtract equation 3 from equation 2.

Equation 5) -x -z = 1

Multiply all of equation 5 with 7.

5) -7x - 7z = 7
4) 7x - 8z = 7

Add equations together.

z = 14

Plug in 14 for z in equation 4.

7x - 8z = 7

7x - 8(14) = 7

7x - 112 = 7

7x = 119

x = 17

Plug in 17 for x in equation 1, and 14 for z.

1) 3x + 2y - 5z = 3

3(17) + 2y - 5(14) = 3

51 + 2y - 70 = 3

2y - 19 = 3

2y = 22

y = 11

So, x = 17, y = 11, and z = 14

~Hope I helped!~

You might be interested in

In a company, 80% of the workers are women. If 480 men work for the company, how many workers are there in all? Use pencil

nekit [7.7K]

Answer:

The total workers are<u> 2400.</u>

Step-by-step explanation:

Given:

In company 80% of the workers are women.

480 workers are men.

Now, to find the total workers in all.

<u><em>In first way:</em></u>

If women are 80%, then men would be 100-80 = 20%.

Let the total workers be $x$ .

According to question:

$20\%\ of \ x=480$

⇒ $\frac{20}{100} \times x=480$

⇒ $0.20\times x=480$

⇒ $0.20x=480$

Dividing both sides by 0.20 we get:

⇒ $x=2400$ .

Total workers = 2400.

<em><u>Now, in second way</u></em>.

Again, let the total workers be $x$ .

According to question:

$x-80\%\ of\ x=480$

⇒ $x-\frac{80}{100}\times x=480$

<em>On solving:</em>

⇒ $x-0.80x=480$

⇒ $0.20x=480$

<em>Dividing both sides by 0.20 we get:</em>

⇒ $x=2400$ .

<em>Total workers = 2400.</em>

Therefore, the total workers are <u>2400</u>.

7 0

3 years ago

Which shows a fractional and decimal equivalent of 9/20 ?

Oxana [17]

Answer:

45/100 = 0.45

Step-by-step explanation:

Divide 9 by 20.

9/20 = 0.45

Now write 36/100 as a decimal.

36/100 = 0.36

Write 45/100 as a decimal: 0.45

Answer: 45/100 = 0.45

4 0

3 years ago

Read 2 more answers

Solve x where 5x=15 ?

adoni [48]

Answer:

3

Step-by-step explanation:

5x3 is 15

8 0

3 years ago

Read 2 more answers

Yarin’s gross pay for the year was $3,500. The federal income tax withholding from his pay was 9% of his gross pay. Yarin determ

inna [77]

9514 1404 393

Answer:

$200

Step-by-step explanation:

The amount of withholding was ...

$3500 · 9% = $315

The excess over the amount due is ...

$315 -115 = $200

Yarin can expect a refund of $200.

3 0

3 years ago

Read 2 more answers

Write in slope intercept form an equation of the line that passes through the given points. (-1,7) , (3,-1)

Tcecarenko [31]

Answer! :

y = -2x + 5

Step by Step! :

slope intercept form:

y = mx + b

m being slope, b being the y intercept.

To find the slope, use this equation:

y^2 - y^1 / x^2 - x^1

Plug in your points.

(-1) - (7) / (3) - (-1)

-8 / 4

-2 is your slope! (y = -2x + b)

To solve for b, plug in any one of your points and solve for b. Let's use (3, -1)

-1 = -2(3) + b

-1 = -6 + b

5 = b

Your new equation is...

y = -2x + 5

6 0

2 years ago