3y+x=5, x-3y=12, y=3x-2, 6y-2x=7 which two of these are parallel?? ​

2nd and 4th are parallel

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3y + x = 5 ( subtract x from both sides )

3y = - x + 5 ( divide terms by 3 )

y = - x + ← in slope- intercept form

with slope m = -

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x - 3y = 12 ( subtract x from both sides )

- 3y = - x + 12 ( divide terms by - 3 )

y = x - 4 ← in slope- intercept form

with slope m =

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y = 3x - 2 ← in slope- intercept form

with slope m = 3

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6y - 2x = 7 ( add 2x to both sides )

6y = 2x + 7 ( divide terms by 6 )

y = x + ← in slope- intercept form

with slope m =

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Parallel lines have equal slopes.

The 2nd and 4th have equal slopes and are parallel

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.

8

step-by-step explanation: