Determine a solution to system of linear inequalities graphed and justify your answer.
1 answer:
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Answer:
Money owned by Steve = $11
Money owned by Ben = $13
Step-by-step explanation:
Let x denotes the money owned by Steve and y denotes the money owned by Ben.
Then, Steve gives $3 to Ben
Money left with Steve = x-3 and Ben = y+3
Now, Ben will have twice as much as Steve.
⇒ y+3 = 2(x-3) .............(1)
If Ben gives Steve $7
Money left with Steve = x+7 and Ben = y-7
Then, the amount Ben has will be one-third that of Steve’s.
⇒ y-7 = (x+7) ..........(2)
Solving equation (1) and (2) by elimination method, we get
x = 11 and y = 13
⇒ Money owned by Steve = $11
Money owned by Ben = $13