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Answer :
Answer:
Mia worked fifteen hours at her weekend job and worked twenty-five hours at her weekday job.
Step-by-step explanation:
There are several ways to solve this system of equations, and my favorite way is the elimination, so I'm going to explain how to solve by elimination. Let x represent the hours of her weekday job, and y represents the hours of her weekend job.
Step 1: Come up with your system of equations.
20x+18y=770
x+y=40
Step 2: Multiply the second equation by 20 to get
20x+18y=770
20x+20y=800
Step 3: Subtract *20 comes from the weekday job
20x+18y=770 18 comes from the weekend job
20x+20y=800 770 comes from the total amnt.
=------------------------ earned.
-2y=-30
Step 4: Divide by -2 in order to isolate y.
-2y = 30
---- ----
-2 -2
Step 5: Simplify.
y=-15
Step 6: Substitute y=15 into y+x=40.
15+x=40
Step 7: Subtract 15 from both sides.
x=25
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Answer:
x = 25
Step-by-step explanation:
x = # of hrs he worked at his weekday job
w = # of hours he worked at his weekend job
25+ x = 40y = 40 - 25 = 15.
Therefore, Mia worked for 25 hours at his weekday job and 15 hours at his weekend job.
w + x = 40
20x + 18w = 770
18(x + w = 40) = 18x + 18w = 720
(20x + 18w = 770) - (18x + 18w = 720)
2x=50
x=25