Question

Which value of y forms the solution of the system defined by y = 11x + 1 and 11x + 12y = 12? (Select A - D from the screenshot)

Answer 1

Answer:

y=1

Step-by-step explanation:

y = 11x + 1  

11x + 12y = 12

Take the right side of the first equation, which is 11x + 1,

since y equals it, put it in parentheses like this (11x + 1)

and put it in place of y in the second equation.

The second equation is

11x + 12y = 12

Take out the y and put in (11x + 1) in place of the y:

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

Remove the parentheses by using the distributive principle:

11x + 132x + 12 = 12

Combine like terms on the left

143x + 12 = 12

Subtract 12 from both sides

143x = 0

Divide both sides by 143

x = 0

Now go back and get the very first equation:

y = 11x + 1

And substitute (0) for x:

y = 11(0) + 1

y = 0 + 1

y = 1

Answer 2

Answer:

A) 1

Step-by-step explanation:

11x = 12 - 12y

11x = y - 1

12 - 12y = y - 1

13y = 13

y = 1

x = 0