Which of the following is equivalent to y-4=1/2(x-6) A. 1/2x-1
B.1/2x + 1
C. -1/2x -2
D.-1/2x + 1

B

Step-by-step explanation:

If we reorder the equation in a certain way then it will look like this:

y-4=1/2(x-6)

y-4=1/2x-3

y-1=1/2x

y=1/2x+1

therefore B is correct since we reduced the equation to y=1/2x+1.

It may be hard to understand but the question is basically asking which one of these answers is equal to y.

Hope this helped you and let me know if i messed up or if im correct so i can imporve from my mistakes

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

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