X + 3y = 7
x = -3y + 7
2x + 4y = 8
2(-3y + 7) + 4y = 8
-6y + 14 + 4y = 8
-2y = 8 - 14
-2y = - 6
y = -6/-2
y = 3
x + 3y = 7
x + 3(3) = 7
x + 9 = 7
x = 7 - 9
x = -2
solution is (-2,3)
Since the lines are parallel they have the same slope 2/3. use point slope form to get,
y+2=2/3(x-1)
y+2=2/3x-2/3
y=2/3x-8/3
3y=2x-8
2x-3y=8
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