Question

Julia earns $8 an hour babysitting and earns $12 an hour

walking dogs. She earned $56 after working a total of 6 hours
at her two jobs.
5 Complete the system of equations below to represent
the situation. Let b = the number of hours that Julia
babysits and d = the number of hours she walks dogs.
-
x
=
6
+
= 56
Equation
6 Write each equation in slope-intercept form.
7
Graph the lines to solve the system. Then use
substitution to check your work.
Show your work.

Answer 1

On edg the answer is x+6

Explanation:

Answer 2

The number of hours that Julia work for walking dogs is 2 hours and The number of hours that Julia work for babysitting is 4 hours .

Explanation:

Given as :

The money earn by Julia for babysitting = $8 per hour

The money earn by Julia for walking dogs = $12 per hour

The total money that Julia earn for working 6 hours = $56

Total number of working hours for Julia = 6 hours

Let The number of hours that Julia work for babysitting = b hours

Let The number of hours that Julia work for walking dogs = d hours

Now, According to question

money earn by Julia for babysitting × number of hours that Julia work for babysitting + money earn by Julia for dogs walking × number of hours that Julia work for dogs walking = Total money that Julia earn

Or, $8 per hour × b hours + $12 per hour × d hours = $56

Or, 8 b + 12 d = 56 ........1

Again

Number of hours that Julia work for babysitting + Number of hours that Julia work for dogs walking = Total number of working hours for Julia

Or, b + d = 6 ..........2

Now, Solving equation 1 and 2

i.e (8 b + 12 d) - 8 × (b + d) = 56 - 8 × 6

Or, (8 b - 8 b) + (12 d - 8 d) = 56 - 48

Or, 0 + 4 d = 8

∴ d =
`(8)/(4)`

i.e d = 2 hours

So, The number of hours that Julia work for walking dogs = d = 2 hours

Put the value of d in eq 2

∵ b + d = 6

Or, b + 2 = 6

∴ b = 6 - 2

i.e b = 4 hours

So, The number of hours that Julia work for babysitting = b = 4 hours

Hence, The number of hours that Julia work for walking dogs is 2 hours and The number of hours that Julia work for babysitting is 4 hours . Answer