Tell whether the system has one solution, no solution, or infinitely many solutions. Y = 3x + 4 - 12x + 4y = 16

Question

Paxton Avila

Mathematics

10 October, 20:14

Tell whether the system has one solution, no solution, or infinitely many solutions. Y = 3x + 4 - 12x + 4y = 16

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Answers (1)

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Jonathon Odonnell · Answer 1

Infinitely many solutions.

Step-by-step explanation:

(1) y = 3x + 4

(2) - 12x + 4y = 16 Substitute (1) into (2)

-12x + 4 (3x + 4) = 16 Distribute the 4

-12x + 12x + 16 = 16 Combine like terms

16 = 16

There are infinitely many solutions.

In the diagram belo, you can see the orange graph of Equation (1) behind the dashed blue line of equation (2). The two lines coincide with each other.