Which statement describes the relationships between x and y in these two equations? y = 5x

y = x + 5

In y = 5x and y = x + 5, the value of y is 5 more than the value of x.

In y = 5x, the value of y is 5 more than the value of x, and in y = x + 5, the value of y is 5 times the value of x.

In y = 5x and y = x + 5, the value of y is 5 times more than the value of x.

In y = 5x, the value of y is 5 times the value of x, and in y = x + 5, the value of y is 5 more than the value of x.

{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

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