{:[-x+3=y],[-6x+18=6y]:} Which of the following accurately describes all solutions to the system of equations shown? Choose 1 answer: A x=0 and y=3 (B) x=3 and y=0 (c) There are infinite solutions to the system. (D) There are no solutions to the system.

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{:[-x+3=y],[-6x+18=6y]:} Which of the following accurately describes all solutions to the system of equations shown? Choose 1 answer: A  x=0 and  y=3 (B)  x=3 and  y=0 (c) There are infinite solutions to the system. (D) There are no solutions to the system.

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Analyze Equations: Let's analyze the system of equations given: $$ \begin{align*} -x + 3 &= y \quad \text{(Equation 1)} \ -6x + 18 &= 6y \quad \text{(Equation 2)} \end{align*} $$ We will try to solve this system by comparing the two equations.Simplify Equation 2: First, we can simplify Equation 2 by dividing every term by 6 to see if it matches Equation 1: $$ \frac{-6x}{6} + \frac{18}{6} = \frac{6y}{6} $$ This simplifies to: $$ -x + 3 = y $$Identical Equations: We notice that after simplifying Equation 2, it becomes identical to Equation 1: $$ -x + 3 = y $$ This means that both equations represent the same line.Infinite Solutions: Since both equations represent the same line, every point on the line is a solution to the system. Therefore, there are infinitely many solutions to the system.

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