Question

Match the values of x with the solution for y if y plus two and five−twelfths equals x.

Match Term Definition
x equals one−half A) y equals negative four and one−fourth
x equals three and one−third B) y equals negative three and one−sixth
x equals negative three−fourths C) y equals eleven−twelfths
x equals negative one and five−sixths D) y equals negative one and eleven−twelfths

Answer 1

I can't be here long so please don't feel deserted if I am not answering... :)

You have a "rule" that relates x and y:\[\Large x=y+2\frac{ 5 }{12 }\]
So just plug in one of the variables (y is probably easiest for these) and solve for the other. E.g., for the first y given:

\[\Large x=-4\frac{ 1 }{4 }+2\frac{ 5 }{12 }\]
Evaluate that right hand side, and you'll have your x.

Answer 2

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Answer 3

y + 2 5/12 = x (change the mixed number to improper fraction)
y + 29/12 = x

x = 1/2
y + 29/12 = x
y + 29/12 = 1/2
y = -29/12 + 1/2 (common denominator is 12)
y = -29/12 + 6/12
y = - 23/12 = - 1 11/12 (D)

you see how I did that ?

Answer 4

now if x = 3 1/3 (change to improper fraction)
x = 10/3
now sub 10/3 in for x
y + 29/12 = x
y + 29/12 = 10/3
y = -29/12 + 10/3 (common denominator is 12)
y = -29/12 + 40/12
y = 11/12 (C)

Answer 5

THANKS SO MUCH!

Answer 6

can you do the other two ?

Answer 7

tag me if you need help with them :)