Question

solve the simultaneous equations x+y=5 and 3x- y = 3 graphically​

Answer 1

Step-by-step explanation:

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Answer 2

The solution of equations is x=2 and y= 3.

Given:

• $x + y = 5$
• $3x - y = 3$

To find:

• Solve the simultaneous linear equation using graphical method.

Solution:

Step 1:

Find the x and y axis intersections of lines.

$x + y = 5$

Putting $x = 0$

$y = 5$

So,

y-axis intercept is (0,5) and similarly x-axis intercept is (5,0).

For $3x - y = 3$

put x= 0

$y = - 3$

Put y=0

$x = 1$

So,

x and y axis intercepts are (1,0) and (0,-3).

Step 2:

Draw the lines.

Mark the axis interception for both the lines.

Join the points for both lines.

*See attached file.

Red line (x+y=5)

Green line (3x-y=3)

Both the lines meet at point D(2,3).

Thus,

The solution of equations is x=2 and y= 3.

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