Dale baby-sat and worked at a restaurant for a total of 11 hours. He made a total of $58. He earns $5 per hour babysitting and $6 per hour at the restaurant. How many hours did he work at each job? Variables x= # hours at restaurant y= # hours worked babysitting can someone be nice enough to help me with this question please anyone
@mathstudent55
thanks for asking others to help me
np :)
@mathstudent55
@calculusfunctions
@TheSmartOne
@sleepyjess
@AlexandervonHumboldt2
We need to use the information they gave us, and make 2 equations and solve them.
idk how to do elimination and system of equations
ill try my best
hours of restaurant is the total of 11 hours and gets total of $58
@emcrazy14
@dan815
Key information: He earns $5 per hour babysitting and $6 per hour at the restaurant. Variables x= # hours at restaurant y= # hours worked babysitting Dale baby-sat and worked at a restaurant for a total of 11 hours.
So one equation we can get from that information is, it says he works for a total of 11 hours. And it tells us that x is hours worked at a restaurant and y is hours worked babysitting. So we get the equation \(\sf x+y=11\)
And it says that he makes $5 per hour for babysitting and $6 per hour for wokring in the restaraunt. And he gets a total of $58 So our second equation is \(\sf 6x+5y=58\)
And solve those 2 equations. And whatever value you get for x is the number of hours he worked at the restaurant. And y is the value of how many hours he worked babysittingg
so i will get two different answers??
@perl
no. You will get one answer for x. And one answer for y. You are supposed to get two answers.
oh like subitute it
he answer for this equation i think its x+y=-1 i think thats the answer -1
**the
hello
Solve these two equations for x and y. \(\sf x+y=11\) \(\sf 6x+5y=58\)
You can graph the 2 equation using Desmos, and find the point where they intersect which is (x,y) and your answer for x is the point (which is x) and for y is y. https://www.desmos.com/calculator
so the answer is -1
for this equation 6x+5y=58 when i graph it said 12 and 10 but idk which one it is
hello
@TheSmartOne hello??
sorry
12 and 10
oh nevermind its 3,8
Exactly!
so would it just only be 3
And \(\sf (3,8)\) is in the form of \(\sf (x,y)\) So \(\sf x=3\\y=8\)
so it would just be 3 for this equation 6x+5y= 58
hello? @TheSmartOne
hello
The question wants two answers. It wants 2 answers. One for how many hours you worked at the restaurant (x) and one for how many hours you worked babysitting (y).
so the two answers are -1 and 3 ?? im right or no
\(\color{blue}{\text{Originally Posted by}}\) @TheSmartOne And \(\sf (3,8)\) is in the form of \(\sf (x,y)\) So \(\sf x=3\\y=8\) \(\color{blue}{\text{End of Quote}}\)
for the two equations ??
or just one ?? last question
For the 2 equations.
oh ok thanks sorry for bothering you and thats the solution right x=3 and y=8 right thats the solution thanks alot for helping me
Np :)
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