X = −3y + 17 2x − y = −1

Step-by-step explanation:

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y = 5 and x = 2

Step-by-step explanation:

Since we have x = -3y + 17, we're going to substitute this equation into the x-value in the second equation.

2(-3y + 17) - y = -1

Multiply the 2 with the terms within the parentheses.

-6y + 34 - y = -1

Add the y values.

-7y + 34 = -1

Subtract 34 from both sides.

-7y = 35

Divide each side by -7.

y = 5

Now that we know the value of y, we can substitute 5 for the y-value in the first equation.

x = -3(5) + 17

Multiply.

x = -15 + 17

Add the two terms together.

x = 2

Hope this helped!

{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