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Is the point (1,3) a solution of the system of equations below? Justify. {:[y=4x-1],[2x+2y=8]:}

Is the point (1,3)(1,3) a solution of the system of equations below? Justify.\newliney=4x−1y=4x-1\newline 2x+2y=8 2x+2y=8

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Q. Is the point (1,3)(1,3) a solution of the system of equations below? Justify.\newliney=4x−1y=4x-1\newline 2x+2y=8 2x+2y=8
  1. Substitute Point into First Equation: Substitute the point (1,3)(1,3) into the first equation y=4x−1y = 4x - 1.\newlineCalculation: y=4(1)−1=4−1=3y = 4(1) - 1 = 4 - 1 = 3.
  2. Check Y-Value Match: Check if the calculated y-value matches the y-coordinate of the point.\newlineCalculation: The y-coordinate of the point is 33, which matches the calculated y-value.
  3. Substitute Point into Second Equation: Substitute the point (1,3)(1,3) into the second equation 2x+2y=82x + 2y = 8.\newlineCalculation: 2(1)+2(3)=2+6=82(1) + 2(3) = 2 + 6 = 8.
  4. Check Sum Match: Check if the calculated sum matches the right side of the equation.\newlineCalculation: The sum is 88, which matches the right side of the equation.

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