Question

$\Large{\underline{\underline{\mathfrak{\red{\bf{Question}}}}}}$

★ Solve This Equation, by Graph Method and also draw a graph of this Solution .

↪ x + y = 5
↪ 3x - 5y = 15.

_______________

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Answer 1

Step-by-step explanation:

x + y = 5 :-

=We have the graph of the equation x+y=5 as:

=We have slope=−1 or inclination =135°

=y-intercept =5

3x - 5y = 15. :-

Since the equation '3x + 5y = 15' is transformed to slope-intercept form 'y = (-3/5)x + 3' the slope is (-3/5).

Answer 2

Answer:

Given equations are

x−y−5=0...(1)

3x+5y−15=0...(2)

Write y in terms of x for equation (1).

x−y−5=0

⇒y=(x−5)

Substitute different values of x in the above equation to get corresponding values of y

For x=5,y=0

For x=0,y=−5

For x=1,y=−4

Now plot the points A(5,0), B(0,−5) and C(1,−4) in the graph paper and join A, B and C to get the graph of x−y−5=0

Similarly, Write y in terms of x for equation (2).

3x+5y−15=0

⇒y=

5

(15−3x)

Substitute different values of x in the above equation to get corresponding values of y

For x=5,y=0

For x=0,y=3

For x=−5,y=6

Now plot the points D(5,0), E(0,3) and F(−5,6) in the graph paper and join D, E and F to get the graph of 3x+5y−15=0

From the graph:

Both the lines intersect each other at point A(5,0) and y-axis at B(0,−5) and E(0,3) respectively

∴ Area of △BAE=

2

1

(base×altitude)

=

2

1

×8×5 sq.units

=20 sq.units.

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