Which point lies on the solution set for the system?
2y - x ≥ -6 2y - 3x < -6 A.) (-4,-1) B.) (3,1) C.) (0,-3) D.) (4,3)
Substitute the coordinates, from the answer choices, into the inequalities. If it creates a true statement, in both inequalities, then that point lies on the solution set for the system.
For point A.) (-4,-1) 2y - x ≥ -6 2(-1) - (-4) ≥ -6 {substituted into first inequality} -2 + 4 ≥ -6 {multiplied} 2 ≥ -6 {added} True statement 2y - 3x < -6 2(-1) - 3(-4) < -6 {substituted into second inequality} -2 + 12 < -6 {multiplied} 10 < -6 {added} False statement. Point A.) does not lie on the solution set. For point B.) (3,1) 2y - x ≥ -6 2(1) - 3 ≥ -6 {substituted into first inequality} 2 - 3 ≥ -6 {multiplied} -1 ≥ -6 {subtracted} True statement. 2y - 3x < -6 2(1) - 3(3) < -6 {substituted into second inequality} 2 - 9 < -6 {multiplied} -7 < -6 {subtracted} True statement. Point B.) does lie on the solution set. B.) (3,1) Ask Algebra House Comments are closed.
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