(−3,−6) is not a solution to the system of equations.
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).
Given the system of equations −4x+y=6 and 5x−y=21.
At point (-3, -6), -4(-3) + (-6) = 6
Hence (-3, -6) is the solution to the first equation.
At point (-3, -6), 5(-3) - (-6) = -9 ≠ 6
Hence (-3, -6) is not a solution to the second equation.
Therefore (−3,−6) is not a solution to the system of equations.
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