Question

What type of straight lines will be represented by the system of equations

2X -Y = 4 and 4X - 2Y = 2 ?​

Answer 1

$\huge{ \boxed{ \fcolorbox{cyan}{pink}{Answer}}}$

• Lets check ratio of coefficients

Equation 1 = 2x - y - 4 = 0

Equation 2 = 4x - 2y - 2 = 0

$\boxed { \bold{\red{ : \implies \frac{a_{1}}{a_{2}} = \frac{2}{4} = \frac{1}{2} }}}$

$\boxed { \bold{\blue{ : \implies \frac{b_{1}}{b_{2}} = \frac{ - 1}{ - 2} = \frac{1}{2} }}}$

$\boxed { \bold{ \green{ : \implies \frac{c_{1}}{c_{2}} = \frac{ - 4}{ -2} = 2}}}$

Since ,

$\boxed { \bold{ : \leadsto \: \frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq\frac{c_{1}}{c_{2}} }}$

•°• Lines are parallel that means that they won't intersect.

Answer 2

Answer:

they are parallel lines