Respuesta :

Answer:

After 5 weeks, each farmer has 45 totts

Step-by-step explanation:

since the answers assume both farmers have an equal amount after some amount of time, we can set the two equations equal to each other

-3x+60=7x+10

-10x = -50

x = 5

5 weeks

y = 7(5) + 10 = 45

After 5 weeks, each farmer has 45 totts

Answer: After 5 weeks, each farmer has 45 totts.

Step-by-step explanation:

The relationship between the weeks(x) and totts(y) is expressed as

y = - 3x + 60- - - - - - - - - - -1

y = 7x + 10- - - - - - - - - - - -2

We would apply the method of substitution by equating equation 1 to equation 2. It becomes

- 3x + 60 = 7x + 10

Adding 3x to the left hand side and the right hand side of the equation, it becomes

- 3x + 3x + 60 = 7x + 3x + 10

60 = 10x + 10

10x + 10 = 60

Subtracting 10 from the left hand side of the equation and the right hand side of the equation, it becomes

10x + 10 - 10 = 60 - 10

10x = 50

Dividing the left hand side of the equation and the right hand side of the equation by 10, it becomes

10x/10 = 50/10

x = 5

Substituting x = 5 into equation 2, it becomes

y = 7 × 5 + 10

y = 45