24-During the summer you to earn at last $150 per week you earn $10 per hour working for a farmer, and you earn $5 per hour babysitting for you neighbor.you work 25 hour per week.

25-write and solve a system of linear equation that models the situation. let X be thethe number of hours per week working on the farm and let y be the number of hoursper week babysitting.

Solution:

        let x be thethe number of hours per week working on the farm

             y be the number of hoursper week babysitting

            x + y = 25     -------------(1)

            10x + 5y =  150

             2x + y = 30     ------------(2)

Subtracting Eq(1) From Eq(2) we get:

                         2x + y = 30

                          x + y = 25

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Subtracting        x = 5 hours

                           y = 25 - 5 = 20 hours