Math, asked by laxmibyagari970, 1 month ago

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Answered by amansharma264
7

EXPLANATION.

Graph of the equation,

(1) = 3x - 5 = 7.

(2) = x + 2 = 9.

(3) = 11y + 6 = -27.

From equation (1), we get.

(1) = 3x - 5 = 7.

⇒ 3x = 7 + 5.

⇒ 3x = 12.

⇒ x = 12/3.

⇒ x = 4.

Their Co-ordinates = (4,0).

From equation, (2) we get.

⇒ x + 2 = 9.

⇒ x = 9 - 2.

⇒ x = 7.

Their Co-ordinates = (7,0).

From equation (3), we get.

⇒ 11y + 6 = -27.

⇒ 11y = -27 - 6.

⇒ 11y = -33.

⇒ y = -3.

Their Co-ordinates = (0,-3).

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Answered by mathdude500
4

 \large\underline\blue{\bold{Given \:  Question :-  }}

Draw the graph of the following equations :-

(1) 3x - 5 = 7

(2) x + 2 = 9

(3) 11y + 6 = - 27

\huge \blue{AηsωeR} ✍

\bf \:\large \red{AηsωeR : 1.} ✍

☆The equation of line is

\bf \:  ⟼ 3x - 5 = 7

 \blue{\bold{\bf \:  ⟼ 3x = 12}}

 \blue{\bold{\bf \:  ⟼ x = 4}}

First, we find coordinates of points, which are lies in the line, in both x-axis & y-axis, which represents the graph structure.

➣ To calculate the coordinates of points, which are lies on the line, are shown in the below table.

\begin{gathered}\boxed{\begin{array}{cccc}\bf x & \bf y \\ \frac{\qquad \qquad \qquad \qquad}{} & \frac{\qquad \qquad \qquad \qquad}{} \\ \sf 4 & \sf 0 \\ \\ \sf 4& \sf 1 \end{array}} \\ \end{gathered}

↝ For graph see the first attachment.

━─━─━─━─━─━─━─━─━─━─━─━─━─

\bf \:\large \red{AηsωeR : 2.} ✍

☆The equation of line is

 \blue{\bold{\bf \:  ⟼ x + 2 = 9}}

 \blue{\bold{\bf \:  ⟼ x = 7}}

First, we find coordinates of points, which are lies in the line, in both x-axis & y-axis, which represents the graph structure.

➣ To calculate the coordinates of points, which are lies on the line, are shown in the below table.

\begin{gathered}\boxed{\begin{array}{cccc}\bf x & \bf y \\ \frac{\qquad \qquad \qquad \qquad}{} & \frac{\qquad \qquad \qquad \qquad}{} \\ \sf 7 & \sf 0 \\ \\ \sf 7 & \sf 1 \end{array}} \\ \end{gathered}

↝ For graph see the second attachment.

━─━─━─━─━─━─━─━─━─━─━─━─━─

\bf \:\large \red{AηsωeR : 3.} ✍

☆The equation of line is

 \purple{\bold{11y + 6 =  - 27}}

 \blue{\bold{\bf\implies \:11y =  - 33}}

 \blue{\bold{\bf \:  ⟼ y =  - 3}}

First, we find coordinates of points, which are lies in the line, in both x-axis & y-axis, which represents the graph structure.

➣ To calculate the coordinates of points, which are lies on the line, are shown in the below table.

\begin{gathered}\boxed{\begin{array}{cccc}\bf x & \bf y \\ \frac{\qquad \qquad \qquad \qquad}{} & \frac{\qquad \qquad \qquad \qquad}{} \\ \sf 0 & \sf  - 3 \\ \\ \sf 1 & \sf  - 3 \end{array}} \\ \end{gathered}

↝ For graph see the third attachment.

━─━─━─━─━─━─━─━─━─━─━─━─━─

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