Answer:
Explanation:
Hannah's rate = $5/hour
Her brother's rate = $4/hour
let x = hannah's working time
y = her brother's working time
We can make 2 equations
x + y = 9, because they worked a total of 9 hours (equation1)
5x + 4y = 38, they earned a total of $38 but we do not know the time they worked for it (equation2)
multiply equation1 by -5
-5(x + y = 9)
-5x -5y = -45 (equation3)
add equations 2 and 3
5x + 4y = 38
-5x -5y = -45
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-y = -7
y = 7, it means her brother worked for 7 hours and earned $28
substitute y = 7 to any of the equations. I use equation1
x + y = 9
x + 7 = 9
x = 2, it means hannah worked for 2 hours and earned $10