Question

Enola is working two summer jobs, making $12 per hour babysitting and $8 per hour washing cars. Last week Enola worked a total of 11 hours and earned a total of $96. Graphically solve a system of equations in order to determine the number of hours Enola worked babysitting last week, ,x, and the number of hours Enola worked washing cars last week, y.

Answer 1

To graphically solve the system of equations, we can use the method of substitution. The number of hours Enola worked babysitting last week is 2, and the number of hours she worked washing cars is 9.

Step-by-step explanation:

To graphically solve this system of equations, you can use the method of substitution.

Let x represent the number of hours Enola worked babysitting and y represent the number of hours Enola worked washing cars. The first equation is 12x + 8y = 96, which represents the total amount earned. The second equation is x + y = 11, which represents the total number of hours worked. Rearranging the second equation, we get x = 11 - y.

Substituting the value of x in the first equation, we have 12(11 - y) + 8y = 96.

Simplifying the equation, we get 132 - 12y + 8y = 96. Combining like terms, we have -4y = -36. Dividing both sides by -4, we find that y = 9.

Substituting the value of y in the second equation, we have x + 9 = 11. Subtracting 9 from both sides, we find that x = 2. Therefore, Enola worked 2 hours babysitting and 9 hours washing cars last week.