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Is (4,6)(4,6) a solution to this system of equations?\newline3x+y=183x + y = 18\newline15x+9y=1115x + 9y = 11\newlineChoices:\newline(A) yes\newline(B) no

Full solution

Q. Is (4,6)(4,6) a solution to this system of equations?\newline3x+y=183x + y = 18\newline15x+9y=1115x + 9y = 11\newlineChoices:\newline(A) yes\newline(B) no
  1. First Equation Check: We have the first equation:\newline3x+y=183x + y = 18\newlineDoes the point (4,6)(4, 6) satisfy the first equation?\newline3x+y=183x + y = 18\newline3(4)+6=183(4) + 6 = 18\newline12+6=1812 + 6 = 18\newline18=1818 = 18\newlineYes, the point (4,6)(4, 6) satisfies the first equation.
  2. First Equation Result: We have the second equation:\newline15x+9y=1115x + 9y = 11\newlineDoes the point (4,6)(4, 6) satisfy the second equation?\newline15x+9y=1115x + 9y = 11\newline15(4)+9(6)=1115(4) + 9(6) = 11\newline60+54=1160 + 54 = 11\newline114=11114 = 11\newlineNo, the point (4,6)(4, 6) does not satisfy the second equation. There is a math error in the calculation.

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