Question

find out equation 5x-4y+8=0and7x+6y_9=0 are consistent or inconsistent

Answer 1

Answer:

consistent

Step-by-step explanation:

a1/a2 is not equal to b1/b2

a1=5

a2=7

b1=-4

b2=6

therefore, 5/7 not equal to -4/6

;)hence has one solution and a pair of equations with any solution is known as consistent

Answer 2

Answer:

consistent

Step-by-step explanation:

5x-4y+8=0

7x+6y-9=0

let,

5x=a1     4y=b1      8=c1

7x=a2    6y=b2     9=c2

here,

a1/a2 is not equal to b1/b2

so, it has one unique solution (according to the condition of solvability of linear equations.

therefore this is an consistent pair of linear equation