Y = 2x - 1

y = - x + 5

Y = 3 and x = 2

y = 2 (x) - 1

3 = 2 (2) - 1

3 = 4 - 1

3 = 3

y = - x + 5

3 = - 2 + 5

3 = 3

Solution:

{y, x} = {3,2}

System of Linear Equations entered:

[1] y - 2x = - 1

[2] y + x = 5

/ / Solve equation [2] for the variable x

[2] x = - y + 5

/ / Plug this in for variable x in equation [1]

[1] y - 2• (-y + 5) = - 1

[1] 3y = 9

/ / Solve equation [1] for the variable y

[1] 3y = 9

[1] y = 3

/ / By now we know this much:

y = 3

x = - y+5

/ / Use the y value to solve for x

x = - (3) + 5 = 2

Solution:

{y, x} = {3,2}