Write whether following statements are True or False? Justify your answers: coordinates of points in

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4. Linear Equations in Two Variables

easy

Write whether the following statements are True or False? Justify your answers:

The coordinates of points in the table:

$\begin{array}{|c|c|c|c|c|c|} \hline x & 0 & 1 & 2 & 3 & 4 \\ \hline y & 2 & 3 & 4 & -5 & 6 \\ \hline \end{array}$

represent some of the solutions of the equation $x-y+2=0$

Option A

Option B

Option C

Option D

Solution

The points $(0,2),(1,3),(2,4)$ and $(4,6)$ satisfy the given equation $x-y+2=0 .$ Each of these points is the solution of the equation $x-y+2=0 .$ But, the satisfy the given equation as $3-(-5)+2=0,$ i.e., $3+5+2=0$ or $10=0,$ which is false.

Hence, the given statement is false, since the point $(3,-5)$ does not satisfy the given equation.

Standard 9

Mathematics

Write four solutions for each of the following equations

$2 x-5 y=10$

easy

Express the following linear equation in the form $a x+b y+c=0$ and indicate the values of $a, b$ and $c$ in each case

$6 x-5 y=4.2 \overline{7}$

medium

If $(5,2)$ is one of the solutions of equation $x+3 y=k,$ then $k=\ldots \ldots \ldots$

easy

If the point $(5,2)$ lies on the graph of the equation $3 x+2 y=k,$ then $k=\ldots \ldots \ldots$

easy

If the point $(3,4)$ lies on the graph of $3 y=a x+7,$ then find the value of $a$.

easy

Write whether the following statements are True or False? Justify your answers: The coordinates of points in the table: $\begin{array}{|c|c|c|c|c|c|} \hline x & 0 & 1 & 2 & 3 & 4 \\ \hline y & 2 & 3 & 4 & -5 & 6 \\ \hline \end{array}$ represent some of the solutions of the equation $x-y+2=0$

Solution

Similar Questions

Write four solutions for each of the following equations $2 x-5 y=10$

Express the following linear equation in the form $a x+b y+c=0$ and indicate the values of $a, b$ and $c$ in each case $6 x-5 y=4.2 \overline{7}$

If $(5,2)$ is one of the solutions of equation $x+3 y=k,$ then $k=\ldots \ldots \ldots$

If the point $(5,2)$ lies on the graph of the equation $3 x+2 y=k,$ then $k=\ldots \ldots \ldots$

If the point $(3,4)$ lies on the graph of $3 y=a x+7,$ then find the value of $a$.

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Write whether the following statements are True or False? Justify your answers:

The coordinates of points in the table:

$\begin{array}{|c|c|c|c|c|c|} \hline x & 0 & 1 & 2 & 3 & 4 \\ \hline y & 2 & 3 & 4 & -5 & 6 \\ \hline \end{array}$

represent some of the solutions of the equation $x-y+2=0$

Write four solutions for each of the following equations

$2 x-5 y=10$

Express the following linear equation in the form $a x+b y+c=0$ and indicate the values of $a, b$ and $c$ in each case

$6 x-5 y=4.2 \overline{7}$