Question

What type of solution does the pair of equations 5x - 4y + 8=0 and 10x - 8y +16=0 has?

Answer 1

Answer:

5x−4y+8=0⇒a

1

=5,b

1

=−4,c

1

=8

7x+6y−9=0⇒a

2

=7,b

2

=6,c

2

=−9

∴

a

2

a

1

=

7

5

6

−4

=

3

−2

c

2

c

1

=

−9

8

=

a

2

a

1



=

b

2

b

1

Therefore we have a unique solution.

Our system is consistent.