How many solutions do each of these systems have? 1. Y=3/4x-5

-3x+4y=-20

2. X+4y=6

Y=2x-3

3. 6x+3y=-12

Y=-2x+4

1-3 either have

A. One solution

B. two solutions

C. an infinite number

D. No solution

1. C

2. A

3. D

Step-by-step explanation:

1. The equations will have the same exact line. This is infinite solutions.

-3x + 4y = - 20 converts to y = 3/4x - 5

2. To solve the system, substitute y = 2x - 3 into the equation x + 4y = 6.

x + 4 (2x-3) = 6

x + 8x - 12 = 6

9x - 12 = 6

9x = 18

x = 2

This system has one solution.

3. The equations will have the same slope. This means no solution is possible.

6x + 3y = - 12 converts to y = - 2x - 4