Question

is the system linear equatien 2x +3y+9=0 and
4x+6y =18 consistent. justly your answer​

Answer 1

Sorry I didn’t know the answer

Answer 2

Answer:

Step-by-step explanation:

2x +3y+9=0

a1 = 2, b1 = 3 and c1 = 9

4x+6y  = 18  

∴ 4x + 6y - 18 = 0

a2 = 4, b2 = 6 and c2 = -18

If the pair equations is consistent,

then,

   $\frac{a1}{a2} =\frac{b1}{b2}= \frac{c1}{c2}$  ( condition)

   ∴  $\frac{2}{4} = frac{1}{2} , \frac{3}{6} =frac{1}{2} , but \frac{9}{-18} = \frac{1}{-2}$

hence we can say given pair of equations is inconsistent.

but,

2x +3y+9=0

a1 = 2, b1 = 3 and c1 = 9

4x+6y + 18  = 0

a2 = 4, b2 = 6 and c2 = 18

If the pair equations is consistent,

then,

   $\frac{a1}{a2} =\frac{b1}{b2}= \frac{c1}{c2}$  ( condition)

   ∴  $\frac{2}{4} = \frac{3}{6} = \frac{9}{18} = \frac{1}{2}$

hence we can say given pair of equations is consistent.

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