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ozzi
3 years ago
6

Fkr what value k does the system of equations x +2y =3 and 5x+ky+7=0 have no solution ​

Mathematics
1 answer:
swat323 years ago
6 0

Step-by-step explanation:

Given system of linear equations are:

x + 2y = 3\\\therefore\: x + 2y - 3 = 0......... (1)\\\& \:5x + ky + 7 = 0........ (2)\\

Equating equations (1) & (2) by

a_1x+b_1y + c_1=0\: \&\:\\ a_2x+b_2y + c_2=0

We find:

a_1=1, \:\:b_1=2, \:\: c_1=-3\: \\\&\:\\ a_2=5, \:\:b_2=k, \:\:  c_2=7\\

The condition for system of linear equations having no solution is given as:

\frac{a_1}{a_2}  =\frac{b_1}{b_2}  \neq\frac{c_1}{c_2} \\\\\therefore \frac{1}{5}  =\frac{2}{k}  \neq\frac{-3}{7} \\\\\therefore \frac{1}{5}  =\frac{2}{k} \\\\\therefore k = 5\times 2\\\\\huge \purple {\boxed {\therefore k = 10}}

Thus, for k = 10 given system of linear equations have no solution.

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Answer:

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Step-by-step explanation:

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8 0
3 years ago
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6 0
3 years ago
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Which of the following are remote interior angles of &lt;1? Check all that apply.
Leto [7]

Answer:

D. \angle 4

F. \angle 6  

Step-by-step explanation:

We have been given an image of a triangle and we are asked to choose the remote interior angles of angle 1.

Since we know that remote interior angles are the two angles that are inside the triangle and opposite from the exterior angle.

We can see that angle 1 is exterior angle of our triangle and and angle 4 an 6 are opposite interior angles of angle 1.

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4 0
3 years ago
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densk [106]

Answer:

r=24

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Step-by-step explanation:

I use proportion of 2 to 3

I multiply 16 and 3/2 to get r

r=24

I multiply 14 and 3/2 to get s

s=21

7 0
3 years ago
PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG
Bess [88]

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Step-by-step explanation:

a proportional linear relationship would go through the origin (0,0) but this is (0,9) .

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