Question

To solve the given simultaneous equation by graphical method make a table. x+y=6, x - y= 4​

Answer 1

Question :-

To solve the given simultaneous equation by graphical method make a table. x+y=6, x - y= 4.

Solution :-

When we solve this type of graph question, now this question we have value of y. If we haven't value of y then we have to find value of y. After finding y make 3 co ordinates of x and y and draw the graph.

By first equation,

⟹ x + y = 6

⟹ y = 6 - x

Substitute x = 0

⟹ y = 6 - 0

⟹ y = 6

• (x, y) = (0, 6)

Substitute x = 1

⟹ y = 6 - 1

⟹ y = 5

• (x, y) = (1, 5)

Substitute x = 2

⟹ y = 6 - 2

⟹ y = 4

• (x, y) = (2, 4)

By Second equation

⟹ x - y = 4

⟹ x = 4 + y

⟹ x - 4 = y

⟹ y = x - 4

Substitute x = 0

⟹ y = 0 - 4

⟹ y = -4

• (x, y) = (0, -4)

Substitute x = 1

⟹ y = 1 - 4

⟹ y = -3

• (x, y) = (1, -3)

Substitute x = 2

⟹ y = 2 - 4

⟹ y = -2

• (x, y) = (2,-2)

Graph Table :-

• Equation 1

$\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin{array}{c|c|c} \bf x,y & \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0,6 & \sf 0 & \sf 6 \\ \\ \sf 1,5 & \sf 1 & \sf 5 \\ \\ \sf 2,4 & \sf 2&\sf 4 \end{array}} \\ \end{gathered}\end{gathered}\end{gathered}$

• Equation 2

$\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin{array}{c|c|c} \bf x,y & \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0,-4 & \sf 0 & \sf -4 \\ \\ \sf 1,-3 & \sf 1 & \sf -3 \\ \\ \sf 2,-2 & \sf 2&\sf -2 \end{array}} \\ \end{gathered}\end{gathered}\end{gathered}$

• Graph is attached to the answer

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