How many solutions do each of these systems have ?
1 answer:
Answer:
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
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