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klio [65]
3 years ago
14

Please help with this Algebra 1 math problem:

Mathematics
2 answers:
asambeis [7]3 years ago
7 0
3x - y = 2

x + y = 6


This system is already in a nice form to do the elimination method on the y variable.

We simply add vertically.


4x = 8.


x = 2. The x-coordinate of the solution is 2.


We can plug the value in to find y if needed.

2 + y = 6.

y = 4.

Ksenya-84 [330]3 years ago
3 0
2................................................................
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stich3 [128]
B = block     p = park

2b + p = 10 min                2 runs around the block takes 10 minutes
2b + 3p = 22 min        2 runs around the block plus 3 runs around the park                                                       takes 22 minutes

To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.

2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p

2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22

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2p = 12 -------------→ p = 6

It takes 6 minutes to jog around the park

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3 years ago
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