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Luden [163]
3 years ago
14

Solve the following system of equations using Gaussian elimination method. If there are no solutions, type "N" for both xx, yy a

nd zz. If there are infinitely many solutions, type "z" for zz, and expressions in terms of zz for xx and yy.-5x-7y-4z=-66x+2y+3z=-2-1x+2y-7z=0
Mathematics
1 answer:
Anna11 [10]3 years ago
6 0

Answer:

x=-224/229,

y=296/229,

z=118/229

Step-by-step explanation:

-5x-7y-4z=-6

6x+2y+3z=-2

-x+2y-7z=0...........( multiple with (-5) and sum with 1st equation, mult with 6 and                    sum with 2nd equation)

______________

-x+2y-7z=0

-17y+31z=-6.....(mult with 14)

14y-39z=-2.....(mult with -17) then sum

___________

-x+2y-7z=0

-229z=-118, so here we have z=118/229.

14y-39*(118/229)=-2, from here we have y=296/229

-x+2*(296/229)-7*(118/229)=0, we get that x=-234/229

In the same way you can do this in the matrix form>>

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Which equation represents the line that passes through (5,8) and (9,2)
Dahasolnce [82]
ASSUMING This is a straight line so we gotta the formula for a straight line which is y=mx+b, where m represents the slope and b represents the y intercept.

First, we know this line passes through (5,8) and (9,2) we can use these for finding the equations. When we know two points, we use this formula:

y-y=m(x-x)

The first y is 8 and the second one is 2
The first x is 5 and the second one is 9

Plug it in:

8-2=m(5-9)
6=m(-4)
6/-4=m <— simplify this
m= -3/2

*NOTE: another way to find m is by calculating it (y-y)/(x-x)

Now we know m, we have to find b.
All you gotta do is plug everything you know back into the equation y=mx+b

y=mx+b
y=-3/2x+b <— now plug in a point we know(x,y)

8=-3/2(5)+b
8=-15/2+b
8-(-15/2)=b
b=8+15/2
b=16/2+15/2
b=31/2 (now you can write be as a fraction or a decimal in your equation, depending on what your teacher told you to use)
*NOTE: it is best to use fractions instead of decimals as it is more accurate sometimes.

Now we know all the variables that need to be known, we just need to rewrite the formula of the equation so the teacher can see.

m=-3/2
b=31/2

We don’t need to plug in x or y since it could have different values (since a straight line has MANY co-ordinates)

SO OUR EQUATION IS=
y=(-3/2)x+31/2

Hope you understand this, feel free to ask me anything!

6 0
3 years ago
Given the figure below, find the values of x and z
viktelen [127]

Answer:

x=6 the angle =88

z=92

Step-by-step explanation:

find x

92+11x+22=180

114+11x=180

11x=180-114

x=66/11

x=6 the angle is 11(6)+22=66+22=88

find z=

z+88=180

z=180-88=92

8 0
3 years ago
Which measurement is greater six feet or 2 meters
mojhsa [17]
A meter stick is approximately 39 inches. A yard stick is 36 inches, or 3 feet. So 2 meters is greater than 6 feet.
3 0
3 years ago
Read 2 more answers
P=a+b+c solve for b<br> c=90x+35
Pavel [41]

Answer:

x=bc-35 over 90

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Consider the figure.<br> What is JL?
lisov135 [29]

The answer for the above mentioned problem is JL = 12.5

Step by step explanation:

Given:

JM = 8

KM = 6

To Find:

JL = ?

Formula to be used:

KM^2 = JM x ML

In order to find " JL" we must first find "ML",

KM^2 = JM x ML

         6^2 = 8 x ML

         36 = 8 x ML

         36/8 = ML

         ML = 4.5

Now JL = 4.5+8

             = 12.5

Thus the value of JL = 12.5

3 0
3 years ago
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