Which ordered pair is the solution to the system of equations?
\[ 2x - 5y = -5 \]
\[ x + 2y = 11 \]
A) (3, 4)
B) (5, 3)
C) (7, 2)
D) (15, 7)
Answer (2)
{ x + 2 y = 11 ∣ ⋅ − 2 2 x − 5 y = − 5 { − 2 x − 4 y = − 22 2 x − 5 y = − 5 + − − − − − − − 9 y = − 27 ∣ : − 9 y = 3 x + 2 ⋅ 3 = 11 x + 6 = 11 x = 11 − 6 x = 5 A n s w er B ( 5 , 3 )
The ordered pair that solves the system of equations 2 x − 5 y = − 5 and x + 2 y = 11 is (5, 3), making option B the correct answer.
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