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5x + 2y = 7 y = x + 1 What is the solution set of the given system? {(5/7, 12/7)} {(12/7, 5/7)} {(9/7, 16/7)} {(16/7, 9/7)}
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4 votes
5x + 2y = 7

y = x + 1

What is the solution set of the given system?
{(5/7, 12/7)}
{(12/7, 5/7)}
{(9/7, 16/7)}
{(16/7, 9/7)}

User Stefan Steiger
by
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2 Answers

0 votes

Answer:

solution is {(5/7, 12/7)}

User Vcuongvu
by
8.3k points
2 votes
5x + 2y = 7 . . . (1)
y = x + 1 . . . (2)
Putting (2) into (1) gives
5x + 2(x + 1) = 7 => 5x + 2x + 2 = 7 => 7x = 7 - 2 = 5 => x = 5/7
From (2) y = 5/7 + 1 = 12/7

Therefore, solution is {(5/7, 12/7)}
User Jayanga
by
8.6k points
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