Uma makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different sizes.

Scale 1: 1 centimeter = 3 meters. Scale 2: 1 centimeters = 4 meters. Triangle A B C. Side A is 9 centimeters, side B is 12 centimeters, and side C is 15 centimeters.
Which shows the correct lengths of side C in both scales?
Scale 1: 45 m; Scale 2: 60 m
Scale 1: 60 m; Scale 2: 45 m
Scale 1: 36 m; Scale 2: 27 m
Scale 1: 27 m; Scale 2: 36 m
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step-by-step explanation:

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{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