Question

If the given pair of given linear equations is inconsistent, then what is the value of  a?

ax + 9 y = 17
x − 3 y = 15​

Answer 1

Answer:

a=-3

Step-by-step explanation:

inconsistent means parallel lines..

so a1/a2=b1/b2

then...a/1=9/-3

which means a=-3

Answer 2

If a pair of linear equations is given by

a

x+b 1

y+c 1

)=0 and

a 2 x+b

2 y+c

2 =0

When the system of linear equations will represent two Parallel Lines there is no point of intersection and consequently, there is no pair of values of x and y which satisfy both equations. Thus, the system has no solution and such pair of linear equation is inconsistent pair of linear equations

For parallel lines(inconsistent)

a 2a1

= b 2b 1

= c 2 c1