State whether the following statement is true or false:
An equation in two variables has a unique solution.
An equation in two variables has a unique solution.
(B) The statement is False.
$A$ linear equation in two variables,typically represented as $ax + by + c = 0$,where $a, b,$ and $c$ are real numbers and $a, b \neq 0$,has infinitely many solutions.
For any value assigned to one variable,there exists a corresponding value for the other variable that satisfies the equation. Therefore,it does not have a unique solution.
$A$ linear equation in two variables,typically represented as $ax + by + c = 0$,where $a, b,$ and $c$ are real numbers and $a, b \neq 0$,has infinitely many solutions.
For any value assigned to one variable,there exists a corresponding value for the other variable that satisfies the equation. Therefore,it does not have a unique solution.
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Similar Questions
Write whether the following statement is True or False? Justify your answer.
The coordinates of points given in the table:
$x$ $0$ $1$ $2$ $3$ $4$ $y$ $2$ $4$ $6$ $8$ $10$
represent some of the solutions of the equation $2x + 2 = y$.
The coordinates of points given in the table:
| $x$ | $0$ | $1$ | $2$ | $3$ | $4$ |
| $y$ | $2$ | $4$ | $6$ | $8$ | $10$ |
represent some of the solutions of the equation $2x + 2 = y$.
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View SolutionIf $(4, 3)$ is a solution of the equation $3x - 4y = k$,then find the value of $k$.
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View SolutionWhich one of the following options is true,and why?
$y = 3x + 5$ has
$(i)$ a unique solution,
$(ii)$ only two solutions,
$(iii)$ infinitely many solutions
$y = 3x + 5$ has
$(i)$ a unique solution,
$(ii)$ only two solutions,
$(iii)$ infinitely many solutions
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