To determine the truth of the statement regarding the ordered pair \((-3, -6)\) being a solution to the system of equations, we need to check if it satisfies both equations:
- \( -4x + y = 6 \)
- \( 5x - y = 21 \)
Let's substitute \((-3, -6)\) into both equations:
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For the first equation: \[ -4(-3) + (-6) = 6 \] \[ 12 - 6 = 6 \] This simplifies to: \[ 6 = 6 \] This equation is satisfied.
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For the second equation: \[ 5(-3) - (-6) = 21 \] \[ -15 + 6 = 21 \] This simplifies to: \[ -9 \neq 21 \] This equation is not satisfied.
Since the ordered pair \((-3, -6)\) does not satisfy both equations, the statement is False.
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