Question

5.Check whether the given equations are consistent or inconsistent
3x+2y=5
2x-3y=7​

Answer 1

Answer:

3x + 2y = 5, 2x - 3y = 7. Hint: For checking whether the pair of linear equations are consistent or inconsistent, we try to obtain values of x and y. If both x and y have a unique value then the system is consistent. The system becomes inconsistent when there exist no values of x and y that satisfy both the equations.

Answer 2

a1/a2 = b1/b2 = c1/c2 formula

3x + 2y - 5 = 0

2x - 3y - 7 = 0

3/2 = 2/3 = -5/-7

3/2 =\= 2/3

a1/a2 doesn't equal to b1/b2

then this is intersecting lines,

then, the given pair of equation is consistent