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{:[x-6y > 5],[7x+2y >= 4]:} Is (10,-2) a solution of the system?

x−6y>57x+2y≥4 \begin{array}{l} x-6 y>5 \\ 7 x+2 y \geq 4 \end{array} \newlineIs (10,−2) (10,-2) a solution of the system?

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Full solution

Q. x−6y>57x+2y≥4 \begin{array}{l} x-6 y>5 \\ 7 x+2 y \geq 4 \end{array} \newlineIs (10,−2) (10,-2) a solution of the system?
  1. Check x−6y>5x - 6y > 5: Step 11: Substitute x=10x = 10 and y=−2y = -2 into the first inequality x−6y>5x - 6y > 5.\newlineCalculation: 10−6(−2)=10+12=2210 - 6(-2) = 10 + 12 = 22.\newlineCheck if 22>522 > 5.
  2. Check 7x+2y≥47x + 2y \geq 4: Step 22: Substitute x=10x = 10 and y=−2y = -2 into the second inequality 7x+2y≥47x + 2y \geq 4.\newlineCalculation: 7(10)+2(−2)=70−4=667(10) + 2(-2) = 70 - 4 = 66.\newlineCheck if 66≥466 \geq 4.

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