All categories

3 years ago

X+y-z=5 -x-4y-8z=6 3x+5y-4z=-20

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

3 0

Answer:

x = 24.48, y = -15.52, z = 3.95 to the nearest hundredth.

Step-by-step explanation:

x+y-z=5 (a)

-x-4y-8z=6 (b)

3x+5y-4z=-20 (c)

Adding equations a and b:

-3y - 9z = 11 (d)

Now multiply equation b by 3:

-3x - 12y - 24z = 18 (e)

Adding c and e:

-7y - 28z = -2 (f) Multiply by 3 to give (g)

-3y - 9z = 11 (b) Multiply by -7 to give (h)

-21y - 84z = -6 (g)

21y + 63z = -77 (h) Adding g and h:

-21z = - 83

z = 3.952

and y is found bt substituting in equation d:

-3y - 9(3.952) = 11

y = ( 11 + 9(3.952) / -3

= -15.52.

Now find x by substituting for y an z in equation a:

x - 15.52 - 3.952 = 5

x = 5 + 15.52 + 3.952

= 24.476.

You might be interested in

I am a 2nd grader i need to know 120/1234x1234x70x0x90x100x12x13x34

maxonik [38]

Anything multiplied by 0 =0
So what is left is 90x100x12x13x34 which is=47,736,000

7 0

3 years ago

A watering can contained 512 quarts water. After all the plants were watered, only 4 cups remained. How many cups of water were

irga5000 [103]

Answer:

18 cups.

Step-by-step explanation:

7 0

3 years ago

Mariko needs about 18 wheelbarrows full of stone for her Japanese garden. Her wheelbarrow has vertical sides with the given shap

zlopas [31]

Answer:

I don't know yet haheuehehheejejejej

3 0

3 years ago

Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

$y= -\frac{3}{2}x+b$

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

7 0

3 years ago

Need the answer to the question

Morgarella [4.7K]

Answer:

The graph is wider and is reflected across the x axis.

Step-by-step explanation:

See attached image.

5 0

2 years ago