Solve the following absolute value equation.
7(3-12x)=28
The solution set is

x = -1/12

Step-by-step explanation:

1 Divide both sides by 7

3 - 12x = 28/7

Then simplify 28/7 to 4

3 - 12x = 4

Then Subtract 3 from both sides

-12x = 4 - 3

then simplify 3 - 4 to 1

-12x = 1

then divide both sides by -12

x = -1/12

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.

me

step-by-step explanation: