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{:[9x+4y < 8],[-3x-7y >= 5]:}
Is 
(1,-2) a solution of the system?

9x+4ylt;83x7y5 \begin{array}{l} 9 x+4 y&lt;8 \\ -3 x-7 y \geq 5 \end{array} \newlineIs (1,2) (1,-2) a solution of the system?

Full solution

Q. 9x+4y<83x7y5 \begin{array}{l} 9 x+4 y<8 \\ -3 x-7 y \geq 5 \end{array} \newlineIs (1,2) (1,-2) a solution of the system?
  1. Substitute and Check Inequality 11: Step 11: Substitute x=1x = 1 and y=2y = -2 into the first inequality 9x + 4y < 8. Calculation: 9(1)+4(2)=98=19(1) + 4(-2) = 9 - 8 = 1. Check if 1 < 8.
  2. Substitute and Check Inequality 22: Step 22: Substitute x=1x = 1 and y=2y = -2 into the second inequality 3x7y5-3x - 7y \geq 5.\newlineCalculation: 3(1)7(2)=3+14=11-3(1) - 7(-2) = -3 + 14 = 11.\newlineCheck if 11511 \geq 5.