Question

graphically the pair of equation 7 x minus y equals to 5 ,21 x minus 3 Y = 10 represent two lines which are
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Answer 1

Answer:

The two lines are parallel.

Step-by-step explanation:

7x - y = 5

or 7x - y -5 = 0

and 21x - 3y = 10

or 21x - 3y -10 = 0

so, $a_1$ = 7 ; $b_1$ =  -1; $c_1$  = -5

and $a_2 = 21 ; b_2 = -3 ; c_2 = -10$

so , $\frac{a_1}{a_2}$ = 7/21 = 1/3

$\frac{b_1}{b_2}$ = -1/-3 = 1/3

$\frac{c_1}{c_2}$ = -5/-10= 1/2

⇒ $\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}$

Hence, the lines are parallel.

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