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Is (1,10)(1,10) a solution to this system of equations?\newliney=8x+2y = 8x + 2\newliney=7x+3y = 7x + 3\newlineChoices:\newline(A) yes\newline(B) no

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Q. Is (1,10)(1,10) a solution to this system of equations?\newliney=8x+2y = 8x + 2\newliney=7x+3y = 7x + 3\newlineChoices:\newline(A) yes\newline(B) no
  1. Check First Equation: To determine if the point (1,10)(1,10) is a solution to the system of equations, we need to check if the point satisfies both equations.\newlineFirst, let's check if it satisfies the first equation: y=8x+2y = 8x + 2.\newlineSubstitute x=1x = 1 and y=10y = 10 into the equation and see if the equation holds true.\newline10=8(1)+210 = 8(1) + 2\newline10=8+210 = 8 + 2\newline10=1010 = 10
  2. Check Second Equation: Since the point (1,10)(1,10) satisfies the first equation, we now need to check if it satisfies the second equation: y=7x+3y = 7x + 3. Substitute x=1x = 1 and y=10y = 10 into the second equation and see if the equation holds true. 10=7(1)+310 = 7(1) + 3 10=7+310 = 7 + 3 10=1010 = 10
  3. Verify Solution: The point (1,10)(1,10) satisfies both equations in the system, which means it is a solution to the system of equations.

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