I. For what value(s) of a, the system of linear equations 2x+3y=7 and(

1.	I. For what value(s) of a, the system of linear equations 2x+3y=7 and(a -1)x +(a +1y 3a +1 represent parallel lines?
Answer» If the given two lines are parallel, then their slopes are equal. Then, equation of lines in standard formy = mx + c 2x + 3y = 7y = - 2/3x + 7/3......(1) (a-1)x + (a + 1)y = 3a+1y = [(1 - a)/(a + 1)]x + (3a+1)/(a+1) Hence,(1 - a)/(a + 1) = - 2/33 - 3a = - 2a - 22a - 3a = 3 - 2-a = 1a = - 1 Therefore value of a = - 1 value of a is 5 you are wrong

I. For what value(s) of a, the system of linear equations 2x+3y=7 and(a -1)x +(a +1y 3a +1 represent parallel lines?

Answer»

If the given two lines are parallel, then their slopes are equal.

Then, equation of lines in standard formy = mx + c

2x + 3y = 7y = - 2/3x + 7/3......(1)

(a-1)x + (a + 1)y = 3a+1y = [(1 - a)/(a + 1)]x + (3a+1)/(a+1)

Hence,(1 - a)/(a + 1) = - 2/33 - 3a = - 2a - 22a - 3a = 3 - 2-a = 1a = - 1

Therefore value of a = - 1

value of a is 5 you are wrong