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Determine if the following ordered pairs are s Show the math below and write "Yes a Soluti a. 3x-6y=42 (4,5) b. -4x-2y=-14 (5,-3)

Determine if the following ordered pairs are s s Show the math below and write

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Full solution

Q. Determine if the following ordered pairs are s s Show the math below and write
  1. Plug Values into First Equation: Plug in the values from the ordered pair (4,5)(4,5) into the first equation 3x−6y=423x-6y=42.\newlineCalculation: 3(4)−6(5)=12−30=−183(4) - 6(5) = 12 - 30 = -18.\newlineCheck if −18-18 equals 4242.
  2. Check First Equation: Since −18-18 does not equal 4242, the ordered pair (4,5)(4,5) is not a solution to the equation 3x−6y=423x-6y=42.
  3. Plug Values into Second Equation: Now, plug in the values from the ordered pair (5,−3)(5,-3) into the second equation −4x−2y=−14-4x-2y=-14.\newlineCalculation: −4(5)−2(−3)=−20+6=−14-4(5) - 2(-3) = -20 + 6 = -14.\newlineCheck if −14-14 equals −14-14.
  4. Check Second Equation: Since −14-14 equals −14-14, the ordered pair (5,−3)(5,-3) is a solution to the equation −4x−2y=−14-4x-2y=-14.

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