How do i solve and what is the answer

I and III

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 )

• Parallel lines have equal slopes

I y = 4x → m = 4

II

y = - x + 2 → m = -

III

rearrange 12x - 3y = 6 into slope- intercept form

subtract 12x from both sides

- 3y = - 12x + 6 ( divide all terms by - 3 )

y = 4x - 2 → m = 4

IV

rearrange into slope- intercept form

4(y + 6) = x - 3

4y + 24 = x - 3 ( subtract 24 from both sides )

4y = x - 27 ( divide all terms by 4 )

y = x - → m =

I and II have the same slope, hence are parallel lines

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.