Answer:
y = 3x + 7
Step-by-step explanation:
Parallel lines have the same slope, so you can write the equation y = 3x + b and you have to figure out what b is.
plug in x = -3 and y = -2 into the equation y = 3x + b:
-2 = 3 * -3 + b
-2 = -9 + b
7 = b
So the equation is y = 3x + 7
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)}