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