Question

The graphic representation of the equations x + 2y = 3 and 2x + 4y + 7 = 0. gives a pair of *

1 point

a) Parallel lines,

b) Intersecting lines,

c) Coincident lines,

d) None of these.

​

Answer 1

Answer:

a) Parallel lines

Step-by-step explanation:

Equations are

$1.x + 2y = 3$

$x + 2y - 3 = 0.......(i)$

$2. \: \: 2x + 4y + 7 = 0.......(ii)$

$from \: equation \: (i) \: and \: (ii)$

${we \: get} \:$

$a_{1} = 1$

$b_{1} = 2$

$c_{1} = - 3$

$a_{2} = 2$

$b_{2} = 4$

$c_{2} = 7$

$now \: we \: can \: check \:$

$\frac{ a_{1}}{ a_{2} } = \frac{1}{2}$

$\frac{ b_{1}}{ b_{2}} = \frac{2}{4} = \frac{1}{2}$

$\frac{ c_{1} }{c_{2}} = \frac{ - 3}{7}$

$now \: we \: can \: see \: \frac{ a_{1}}{ a_{2}} = \frac{ b_{1} }{b_{2}}$

$but \: not \: equal \: to \: \frac{ c_{1} }{ c_{2} }$

$therefore \: they \: have \: parallel \: lines.$

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