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{:[7x-9y < 5],[-2x+4y > 5]:} Is (3,5) a solution of the system?

7x−9ylt;5−2x+4ygt;5 \begin{array}{l} 7 x-9 y&lt;5 \\ -2 x+4 y&gt;5 \end{array} \newlineIs (3,5) (3,5) a solution of the system?

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Q. 7x−9y<5−2x+4y>5 \begin{array}{l} 7 x-9 y<5 \\ -2 x+4 y>5 \end{array} \newlineIs (3,5) (3,5) a solution of the system?
  1. Substitute Values: Step 11: Substitute x=3x = 3 and y=5y = 5 into the first inequality 7x - 9y < 5.\newlineCalculation: 7(3)−9(5)=21−45=−247(3) - 9(5) = 21 - 45 = -24.\newlineSince -24 < 5, the point (3,5)(3,5) satisfies the first inequality.
  2. Calculate First Inequality: Step 22: Substitute x=3x = 3 and y=5y = 5 into the second inequality -2x + 4y > 5.\newlineCalculation: −2(3)+4(5)=−6+20=14-2(3) + 4(5) = -6 + 20 = 14.\newlineSince 14 > 5, the point (3,5)(3,5) satisfies the second inequality.

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