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y=-8x-3 x+y=7 Is (3,4) a solution of the system? Choose 1 answer: (A) Yes (B) No

y=−8x−3 y=-8 x-3 \newlinex+y=7 x+y=7 \newlineIs (3,4) (3,4) a solution of the system?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No

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Q. y=−8x−3 y=-8 x-3 \newlinex+y=7 x+y=7 \newlineIs (3,4) (3,4) a solution of the system?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No
  1. Substitute and Check: First, we will substitute the point (3,4)(3,4) into the first equation and check if it holds true. The first equation is y=−8x−3y = -8x - 3. If we substitute x=3x=3 and y=4y=4, we get 4=−8×3−34 = -8\times3 - 3.
  2. Calculation Result: After performing the calculation, we find that 4=−24−34 = -24 - 3, which simplifies to 4=−274 = -27. This is not true. Therefore, the point (3,4)(3,4) does not satisfy the first equation.
  3. Point (3,4)(3,4) Evaluation: Since the point (3,4)(3,4) does not satisfy the first equation, there is no need to check the second equation. The point (3,4)(3,4) cannot be a solution to the system if it does not satisfy both equations.

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