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Is (8,2)(8,2) a solution to this system of equations?\newlinex+y=10x + y = 10\newline6x+4y=196x + 4y = 19\newlineChoices:\newline(A) yes\newline(B) no

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Q. Is (8,2)(8,2) a solution to this system of equations?\newlinex+y=10x + y = 10\newline6x+4y=196x + 4y = 19\newlineChoices:\newline(A) yes\newline(B) no
  1. Check First Equation: We need to check if the point (8,2)(8, 2) satisfies the first equation: x+y=10x + y = 10. Substitute x=8x = 8 and y=2y = 2 into the equation: 8+2=108 + 2 = 10 10=1010 = 10 The point (8,2)(8, 2) satisfies the first equation.
  2. Check Second Equation: Now, we need to check if the point (8,2)(8, 2) satisfies the second equation: 6x+4y=196x + 4y = 19. Substitute x=8x = 8 and y=2y = 2 into the equation: 6(8)+4(2)=196(8) + 4(2) = 19 48+8=1948 + 8 = 19 56≠1956 \neq 19 The point (8,2)(8, 2) does not satisfy the second equation.

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