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A set of equations is given below: Equation C: y = 6x + 9 Equation D: y = 6x + 2 How many solutions are there to the given set of equations? One solution No solution Two solutions Infinitely many solutions

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gmany

Answer:

[tex]\large\boxed{\bold{No\ solution}}[/tex]

Step-by-step explanation:

[tex]C:\ y=6x+9\\\\D:\ y=6x+2\\\\\left\{\begin{array}{ccc}y=6x+9&(1)\\y=6x+2&(2)\end{array}\right\\\\\text{substitute (1) to (2):}\\\\6x+9=6x+2\qquad\text{subtract 6x from both sides}\\\\9=2\qquad\bold{FALSE}\\\\\text{Therefore the answer is:}\ \bold{no\ solution}[/tex]

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