2x+y=5 14x+7y=35 how many solutions does this system have?

2x+y=5; 14x-7y=35

{x, y} = {5/2,0}

System of Linear Equations entered:

[1] 2x + y = 5

[2] 14x - 7y = 35

Steps:

/ / Solve equation [1] for the variable y

[1] y = - 2x + 5

/ / Plug this in for variable y in equation [2]

[2] 14x - 7• (-2x+5) = 35

[2] 28x = 70

/ / Solve equation [2] for the variable x

[2] 28x = 70

[2] x = 5/2

/ / By now we know this much:

x = 5/2

y = - 2x+5

/ / Use the x value to solve for y

y = - 2 (5/2) + 5 = 0

Solution:

{x, y} = {5/2,0}

One is has only one solution