Question

The straight line passes through the point of inter
-section of the straight lines x + 2y – 10 = 0 and
2x + y + 5 = 0, is​

Answer 1

Answer:

Equation of 2 straight lines:

• x + 2y = 10
• 2x + y = -5

Solving them we get the point of intersection between the two lines.

Point of intersection is calculated as:

⇒ x = 10 - 2y ... ( Eqn 1 )

Substituting this in the other equation we get,

⇒ 2 ( 10 - 2y ) + y = -5

⇒ 20 - 4y + y = -5

⇒ 20 -3y + 5 = 0

⇒ 25 = 3y

⇒ y = 25/3

Similarly value of x is:

⇒ x = 10 - 2y

⇒ x = 10 - 2 ( 25/3 )

⇒ x = 10 - 50/3

⇒ x = ( 30 - 50 ) / 3

⇒ x = -20/3

Hence point of intersection is ( -20/3 , 25/3 )

Calculating the straight line through this point is not defined properly as infinite lines pass through these points. Therefore the question might contain options to help us get the answer more clearly.

According to my sources, the line must be 5x + 4y = 0.

Hope it helped !!