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{:[-4x+3y=2],[3x-9y=3]:} Is (4,1) a solution of the system? Choose 1 answer: (A) Yes (B) No

−4x+3y=2 -4 x+3 y=2 \newline3x−9y=3 3 x-9 y=3 \newlineIs (4,1) (4,1) a solution of the system?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No \mathrm{No}

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Q. −4x+3y=2 -4 x+3 y=2 \newline3x−9y=3 3 x-9 y=3 \newlineIs (4,1) (4,1) a solution of the system?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No \mathrm{No}
  1. Substitute values into equation: Let's first substitute the xx and yy values from the point (4,1)(4,1) into the first equation −4x+3y=2-4x + 3y = 2. Substitute x=4x = 4 and y=1y = 1 into the equation: −4(4)+3(1)=−16+3=−13-4(4) + 3(1) = -16 + 3 = -13. Check if this equals 22.
  2. Check result: Since −13-13 does not equal 22, we can conclude that the point (4,1)(4,1) is not a solution to the first equation.\newlineTherefore, it cannot be a solution to the system of equations.

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