6x – 7y = 16 2x + 7y = 24 (2, 1) (2, 0) (5, 2) (4, –5)
1 answer:
<span>6x – 7y = 16 2x + 7y = 24 This system is easily solvable by the elimination method as the y-terms are opposites of each other. You may add the two equations together and they will cancel out. </span> 6x – 7y = 16 2x + 7y = 24 +___________ 8x – 0 = 40 8x = 40 x = 5 Substitute 5 for x into either of the above equation and solve algebraically for y. 2x + 7y = 24 2(5) + 7y = 24 10 + 7y = 24 7y = 14 y = 2 Check work by plugging both x- and y-values into each original equation. 6x – 7y = 16 => 6(5) – 7(2) = 16 => 30 – 14 = 16 2x + 7y = 24 => 2(5) + 7(2) = 24 => 10 + 14 = 24Answer : x = 5; y = 2 (5, 2)
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