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

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5

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