Question

Check whether the following pair of linear equations are consistent or inconsistent: 2x + 3y = 17, 3x – 2y = 6

Answer 1

Answer:

Yes, they are consistent

Step-by-step explanation:

2x=17-3y

x=(17-3y)/2

3x=6+2y

x=(6+2y)/3

If they are consistent then value of x will be same

(17-3y)/2=(6+2y)/3

3(17-3y)=2(6+2y)

51-9y=12+4y

51-12=4y+9y

39=13y

39/13=y

3=y

if we put the value of y in both equation then we obtain value of x same ,hence this linear pair is consistent