Question

which of the following pairs of linear equations are consistent or inconsistent: 3x-2y= 52x-3y=7​

Answer 1

Answer:Given equations :-

3x + 2y = 5

And

2x - 3y = 7

Here,

a1 = 3, a2 = 2, b1 = 2, b2 = -3, c1 = 5 and c2 = 7

Now,

a1/a2 = 3/2

b1/b2 = 2/-3 = -2/3

c1/c2 = 5/7

As we can see that,

a1/a2 ≠ b1/b2

This equation represent only one solution.

Therefore, these equations are consistent.

# Consistent equations are those equations which atleast have one solution.

Step-by-step explanation: