2x+y=5 14x+7y=35 how many solutions does this system have?
2 answers:
One is has only one solution
Answer:
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}
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