Question

Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation?

a. 2y = x – 4.5
b. y = 2/3x – 3
c. 6y = 6x – 27
d. y = 3/2x – 4.5

Answer 1

Hence option b is correct.

( b. y = (2/3)x-3)

Explanation:

Muriel says she has written a system of two linear equations that has an infinite number of solutions.

The first equation is given as:

3y= 2x -9.

This equation could also be written as:

y=(2/3)x-3

since we divide both side of the equation by 3.

" The system of equation is said to have infinite solution if both the equations represents the same line "

Hence, option b is correct.

( b. y = (2/3)x-3 )

Answer 2

an infinite number of solutions means a coincident line...it is the same line
3y = 2x - 9...divide by 3
y = 2/3x - 3...hmm...same line as answer choice b....they are coincident lines and have infinite solutions