Question

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Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
D
3x+ y = 4
6x +y = 4
Infinitely Many Solutions
One Solution
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No Solutions
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Answer 1

x = 0

y = 4

Explanation:

`3x + y = 4 \\ 6x + y = 4 \\ \\ 6x + y - (3x + y) = 4 - 4 \\ 6x + y - 3x - y = 0 \\ 6x - 3x = 0 \\ 3x = 0 \\ 3 = (0)/(3) \\ x = 0 \\ \\ \\ 3x + y = 4 \\ 3(0) + y= 4 \\ 0 + y= 4 \\ y = 4 - 0 \\ y = 4 \\`