2
algebra

Solve the system using substitution: {x=2y+33xy=17\begin{cases} x = 2y + 3 \\ 3x - y = 17 \end{cases}

A

(5,1)(5, 1)

B

(9,3)(9, 3)

C

(7,2)(7, 2)

D

(11,4)(11, 4)

Correct Answer: C

Choice C is the correct answer. Since x=2y+3x = 2y + 3 is already iSolution: (7,2)(7, 2)

Verification: 3(7)2=212=193(7) - 2 = 21 - 2 = 19

💡 Strategic Tip: When one variable is already isolated, substitution is the fastest method.

Choice A is incorrect because3(5)1=151=14 eq193(5) - 1 = 15 - 1 = 14 \ eq 19.

Choice B is incorrect because3(9)3=273=24 eq193(9) - 3 = 27 - 3 = 24 \ eq 19.

Choice D is incorrect because3(11)4=334=29 eq193(11) - 4 = 33 - 4 = 29 \ eq 19.