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consider the following system of equations. \\\\begin{cases} 3x - 3y = …

Question

consider the following system of equations.

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$$\begin{cases} 3x - 3y = -3 \\\\ -3x + 3y = 3 \\end{cases}$$

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step 2 of 2: determine if the point \\((0, 1)\\) lies on both of the lines in the system of equations by substituting the ordered pair into both equations.

answer
yes
no

Explanation:

Substitute into the first equation

Using the Evaluating Algebraic Expressions and Verifying Solutions to Systems knowledge points

$$ LATEXBLOCK0 $$

Substitute into the second equation

Using the Evaluating Algebraic Expressions and Verifying Solutions to Systems knowledge points

$$ LATEXBLOCK1 $$

Determine if the point lies on both lines

Using the Verifying Solutions to Systems knowledge point

$$ \text{Since } (0,1) \text{ satisfies both equations, it lies on both lines.} $$

Answer:

  • Yes (Correct answer)
  • No