A larger number is one less than five times a smaller number. The sum of these two numbers is 17. Find the two numbers.
what are the two numbers?

whichever of these formats you need its the same answer (16/6) or 2.66666 or (2 and 2/3rds)

Step-by-step explanation:

replace smaller variable with x for example

(x) + (5x-1) = 17

6x-1=17

6x=16

x=(16/6 or 2.666666 or 2and2/3)

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.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17