Question

draw the graph of a pair of linear equations X + y =7 and 2x-3y =9 and solve​

Answer 1

Solve the equations using graphical method: x+y=7 and 2x−3y=9

A

(6,−1)

B

(−6,1)

C

(6,1)

D

(−6,−1)

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Solution

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Correct option is

C

(6,1)

For line 2x−3y=9

x 0 6

y −3 1

For line x+y=7

x 5 2

y 6 1

x+y=7 ----- (1)

2x−3y=9 ----- (2)

From equation (1)

y=7−x ------ (3)

Assume the value of x=5,6 and put those values in equation (3)

If x=5,y=7−5=2

If x=6,y=7−6=1

Now plotting (5, 2), (6, 1) and joining them, we get a straight line.

From equation (2),

2x−3y=9

y=

3

2x−9

------ (4)

Assume the value of x=0,6 and put those values in equation (4)

If x=0,y=

3

2x−9

=

3

2(0)−9

=

3

−9

=−3

If x=6,y=

3

2(6)−9

=

3

12−9

=

3

3

=1

Plotting (0,−3),(6,1) and joining them, we get another straight line.

These lines intersect at the point (6,1) and therefore the solution of the equation is x=6,y=1 .

Answer 2

Answer:

Hope it's correct thank you ~♥~