Question

Which value of y forms the solution of the system defined by y = 11x + 1 and 11x + 12y = 12? A. 1 B. C. 11 D.

Answer 1

Answer: 1

Step-by-step explanation:

y = 11 x + 1

11 x + 12 y = 12

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11 x + 12 * ( 11 x + 1 ) = 12

11 x + 132 x + 12 = 12

143 x + 12 - 12 = 12 - 12

143 x = 0

x = 0

y = 11 * 0 + 1

y = 0 + 1

Answer 2

A

given the 2 equations

y = 11x + 1 → (1)

11x + 12y = 12 → (2)

substitute y = 11x + 1 into (2)

11x + 12(11x + 1) = 12

11x + 132x + 12 = 12

143x + 12 = 12 ( subtract 12 from both sides )

143x = 0 ⇒ x = 0

substitute x = 0 into (1)

y = 0 + 1 = 1

the required value is y = 1 → A