Question

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)}

Answer 1

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

Answer 2

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)}