Question

check whether the following equations are consistent or inconsistent. solve them graphically 3x+2y=5,2x-3y=7​

Answer 1

Step-by-step explanation:

the equation is consistent

Answer 2

ANSWER::

Given,

3x+2y-5=0

2x-3y-7=0

Here,

a¹=3 , b¹=2 , c¹ =-5

a² =2 , b² =-3 , c²=-7

.

. . a¹/a² = 3/2

b¹/b² = 2/3

c¹/c² = -5/-7 [( - )is cancel ]

= 5/7

. .

. a¹/a² not equal to b¹/b²

.

. . It is consistent

Now graphical solutions

3x+2y=5

x= 5-2y/3

when , y=1.

x= 5-2×1 /3

= 5- 2/3

= 3/3

= 1

when y= -2

x = 5-2(-2)/3

= 5 +4/3

= 9/3

=3

Similarly,

2x-3y=7

x= 7+3y/2

when y = 1

x= 7+ 3×1 /2

= 7 +3/2

= 10/2

= 5

when y= -1

x=7+3(-1) /2

= 7-3/2

=4/2

= 2

Just make the table

I hop it will help you

Thank you