Question

Identify if the system has , one solution, Two solutions, no solutions or ifinitely many solutions

y= 3x+ 8
2y= 6x+ 16

Answer 1

Answer:

infinitely many solutions

Step-by-step explanation:

Converting the given equation in general equation form of ax + by + c = 0

we get two eq as

3x - y + 8 = 0

6x - 2y + 16 = 0

Comparing coefficients a,b and c of the two eq we get

a₁/a₂ = 3/6 = 1/2

b₁/b₂ = -1/-2 = 1/2

c₁/c₂ = 8/16 = 12

hence we can say a₁/a₂ = b₁/b₂ = c₁/c₂

Therefore the given equations are co incident; hence they have infinitely many solutions;