Question

How many solutions y=10x+2 y=8x+2x+2

Answer 1

Answer:

Infinutely many solutions

Step-by-step explanation:

y = 10x + 2 --------- (1)

y = 8x +2x +2

=> y = 10x + 2---------- (2)

(1) -> 10x -y + 2 = 0

(2) -> 10x -y + 2 = 0

a1=10 ; b1=-1 ; c1 = 2

a2=10 ; b2=-1 ; c2= 2

a1/a2 = 10/10 = 1

b1/b2 = -1/-1 = 1

c1/c2 = 2/2 = 1

therefore, a1/a2 = b1/b2 = c1/c2

Therefore the line coincides and there are infinitely many solutions.