ASAP True or False: A consistent system occurs when the lines or planes formed don't meet
at any point and are not parallel.

a) True

b) False

b) False

Explanation:

The portion where it says "don't meet at any point" is why the overall statement is false. A consistent system does have the lines or planes meeting at least one point; otherwise, the system is inconsistent with no solutions. Each intersection is a solution.

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.