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6) \\begin{cases} y = -9x - 4 \\\\ -36x - 4y = -20 \\end{cases}

Question

  1. \
$$\begin{cases} y = -9x - 4 \\\\ -36x - 4y = -20 \\end{cases}$$

Explanation:

Step1: Substitute $y$ into second equation

Substitute $y=-9x-4$ into $-36x-4y=-20$:
$$-36x - 4(-9x - 4) = -20$$

Step2: Simplify the left-hand side

Expand and combine like terms:
$$-36x + 36x + 16 = -20$$
$$16 = -20$$

Step3: Analyze the resulting statement

The equation $16=-20$ is a contradiction, meaning there is no pair $(x,y)$ that satisfies both equations.

Answer:

There is no solution (the system is inconsistent).