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L' is (2,4) M' is (3,1) N' is (0,4)

Step-by-step explanation:

For each ordered pair, you add 2 to the x (the first number, which is horizontal on the graph) and 3 to the y (the second number, which is vertical).

L is (0,1) so you add 2 to the 0 and 3 to the 1 to get L' (2,4)

M is (1,-2), so you add 2 to the 1 and 3 to the -2 to get M' (3,1)

N is (-2,1), so you add 2 to the -2 and 3 to the 1 to get N' (0,4)

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1