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djverab [1.8K]
3 years ago
12

on comparing the ratios a1/a2 b1/b2 and c1/c2 find out whether the pair of linear equations 2x -3y=8 and 4x-6y =9 are consistent

or inconsistent​
Mathematics
1 answer:
andre [41]3 years ago
6 0

Answer:

The given linear equation are

⇒9x+3y+12=0....eq1

⇒a1 =9,b1 =3,c1 =12

⇒18x+6y+24...eq2

⇒a2 =18,b2 =6,c2 =24

⇒a1/a2 =9/18  =1/2

​⇒  b1/b2=  3/6 =  1/2

⇒  c1/c2=  12/24=  1/2

comparing

⇒  a1/a2,b1/b2,c1/c2  

⇒  a1/a2=b1/b2=c1/c2

Hence, the line represented by eq1 and eq2 are coincidents

Step-by-step explanation:

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The constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Eric conducted an experiment in his science class and recorded the data in a table.

Eric’s science experiment, time (seconds), 3, 6, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.

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More about the linear system link is given below.

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