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)
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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:
A) 1
Step-by-step explanation:
11x = 12 - 12y
11x = y - 1
12 - 12y = y - 1
13y = 13
y = 1
x = 0