Is (–6, –1) a solution to this system of inequalities?
5x–17y≤ –13
2x+8y≥ –20
To determine if (-6, -1) is a solution to the system of inequalities, we can plug in the values for x = -6 and y = -1 into both inequalities and see if the statements hold true.
First inequality:
5(-6) - 17(-1) ≤ -13
-30 + 17 ≤ -13
-13 ≤ -13
Second inequality:
2(-6) + 8(-1) ≥ -20
-12 - 8 ≥ -20
-20 ≥ -20
Both statements hold true when plugging in the values for x = -6 and y = -1 into both inequalities, which means that (-6, -1) is a solution to the system of inequalities.