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Is (1,9)(1,9) a solution to this system of equations?\newliney=3x+6y = 3x + 6\newliney=7x+2y = 7x + 2\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1,9)(1,9) a solution to this system of equations?\newliney=3x+6y = 3x + 6\newliney=7x+2y = 7x + 2\newlineChoices:\newline(A)yes\newline(B)no
  1. Substitute and Check First Equation: First, we will substitute the point (1,9)(1,9) into the first equation and check if it holds true. The first equation is y=3x+6y = 3x + 6. If we substitute x=1x=1 and y=9y=9, we get 9=3×1+69 = 3 \times 1 + 6.
  2. Check First Equation Result: After performing the calculation, we find that 9=3+69 = 3 + 6, which is true. Therefore, the point (1,9)(1,9) satisfies the first equation.
  3. Substitute and Check Second Equation: Next, we will substitute the point (1,9)(1,9) into the second equation and check if it holds true. The second equation is y=7x+2y = 7x + 2. If we substitute x=1x=1 and y=9y=9, we get 9=7×1+29 = 7\times1 + 2.
  4. Check Second Equation Result: After performing the calculation, we find that 9=7+29 = 7 + 2, which is also true. Therefore, the point (1,9)(1,9) satisfies the second equation as well.
  5. Verify Solution: Since the point (1,9)(1,9) satisfies both equations, it is a solution to the system of equations.

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