Question

The line representing pair of linear equations 2x + y = 5 and 4x + 2y =10 are: A. parallel B. intersect at point C. coincident D. none in step by step explaination​

Answer 1

Answer:

C . coincident

Step-by-step explanation:  

  2x+y=5 -------> eqn 1

when written in form of ax + by + c = 0

           2x+y-5=0    here a1=2, b1=1, c1=5

  4x+2y=10  ----------> eqn 2

when written in form of ax + by + c = 0

           4x+2y-10=0   here a2=4, b2=2, c2=10

from eqn 1 and eqn 2

so,  $\frac{a1}{a2}$ = $\frac{2}{4}$ = $\frac{1}{2}$

      $\frac{b1}{b2}$ = $\frac{1}{2}$ = $\frac{1}{2}$

      $\frac{c1}{c2}$ = $\frac{5}{10}$ = $\frac{1}{2}$

here,  $\frac{a1}{a2}$ = $\frac{b1}{b2}$ = $\frac{c1}{c2}$

hence, the lines are coincident

Answer 2

Answer:

ohh

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