Question

Gianna is working two summer jobs, making $12 per hour washing cars and $8 per
hour landscaping. Last week Gianna worked a total of 5 hours and earned a total of
$48. Graphically solve a system of equations in order to determine the number of
hours Gianna worked washing cars last week, x, and the number of hours Gianna
worked landscaping last week, y.

Answer 1

Answer:

x + y = 5

12x + 8y = 48

x = -y + 5

12(-y + 5) + 8y = 48

-12y + 60 + 8y = 48

-4y + 60 = 48

-4y = -12

y = 3

x + 3 = 5

x = 2

12(2) + 8(3) = 48

24 + 24 = 48

x = 2 hours of washing cars

y = 3 hours of landscaping

Hope this helps!!

- Kay

Answer 2

The value of x and y should be 2 and 3.

Calculation of the value of x and y:

Since Gianna is working two summer jobs, making $12 per hour washing cars and $8 per hour landscaping. Last week Gianna worked a total of 5 hours and earned a total of $48.

So here the equation should be

x + y = 5

12x + 8y = 48

we can write as

x = -y + 5

So,

12(-y + 5) + 8y = 48

-12y + 60 + 8y = 48

-4y + 60 = 48

-4y = -12

y = 3

Now

x + 3 = 5

x = 2

Therefore, The value of x and y should be 2 and 3.

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