Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

he coordinates below represent two linear equations.

How many solutions does this system of equations have?

Line 1
x y
–3 5
0 4
Line 2
x y
0 4
6 2
A.
0

B.
exactly 1

C.
exactly 2

D.
infinitely many


Sagot :

[tex]\hbox{Line 1:}\\ m=\frac{5-4}{-3-0}\\ m=\frac{1}{-3}\\ m=-\frac{1}{3}\\\\ \hbox{Line 2:}\\ m=\frac{4-2}{0-6}\\ m=\frac{2}{-6}\\ m=-\frac{1}{3}[/tex]

Both lines have the same slope, which means they are parallel. They also pass through the same point [tex](0,4)[/tex]. This means they're overlapping so there is infinitely many solutions.

Answer

I almost got a 1000 points

Step-by-step explanation: