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For the pair $x + 2 y = 4$ and $2 x + 4 y = 12$ , the graphs are parallel. How many solutions does the pair have?

Class 10Graphical MethodAlgebra — Systems of Equations

A2
B0
C-1
D1

Step-by-Step Solution

\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{4}{12} = \frac{1}{3}

. Since

\frac{a _{1}}{a _{2}} = \frac{b _{1}}{b _{2}} \neq = \frac{c _{1}}{c _{2}}

, lines are parallel: 0 solutions.

Answer: B) 0

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