Which one of following options is true, and why ? y=3 x+5 has (i) a unique solution, (ii) only

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4. Linear Equations in Two Variables

easy

Which one of the following options is true, and why ?

$y=3 x+5$ has

$(i)$ a unique solution,

$(ii)$ only two solutions,

$(iii)$ infinitely many solutions

Option A

Option B

Option C

Option D

Solution

$y = 3x + 5$ is a linear equation in two variables and it has infinite possible solutions. As for every value of $x$, there will be a value of $y$ satisfying the above equation and vice-versa.

Hence, the correct answer is $(iii)$.

Standard 9

Mathematics

Write four solutions for equations : $x=4 y$

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Check the solutions of the equation $x -2y = 4$ and which are not : $(2,\,0)$

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For each of the graphs given in Fig. select the equation whose graph it is from the choices given below :

$(a)$ For Fig. $(i)$,

$(i)$ $x+y=0$ $(ii)$ $y=2 x$   $(iii)$ $y=x$   $(iv)$ $y=2 x+1$

$(b)$ For Fig. $(ii)$,

$(i)$ $x+y=0$ $(ii)$ $y=2 x$   $(iii)$ $y=2x+4$   $(iv)$ $y=x-4$

$(c)$ For Fig. $(iii)$,

$(i)$ $x+y=0$ $(ii)$ $y=2 x$   $(iii)$ $y=2x+1$   $(iv)$ $y=2 x-4$

easy

Write four solutions for equations : $\pi x+y=9$

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Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case : $5=2 x$

easy

Which one of the following options is true, and why ? $y=3 x+5$ has $(i)$ a unique solution, $(ii)$ only two solutions, $(iii)$ infinitely many solutions

Solution

Similar Questions

Write four solutions for equations : $x=4 y$

Check the solutions of the equation $x -2y = 4$ and which are not : $(2,\,0)$

Write four solutions for equations : $\pi x+y=9$

Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case : $5=2 x$

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Which one of the following options is true, and why ?

$y=3 x+5$ has

$(i)$ a unique solution,

$(ii)$ only two solutions,

$(iii)$ infinitely many solutions