Question

4. Tell whether the systems have one solution,

no solution, or infinite solutions.
-5x + y = -5
- 4x + 2y = 2
no solution
infinite solution
one solution

Answer 1

x= 2,

,y = 5

Explanation:

Solve by Substitution :

// Solve equation [1] for the variable y

[1] y = 5x - 5

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

[2] -4x + 2•(5x-5) = 2

[2] 6x = 12

// Solve equation [2] for the variable x

[2] 6x = 12

[2] x = 2

// By now we know this much :

x = 2

y = 5x-5

// Use the x value to solve for y

y = 5(2)-5 = 5

Solution :

{x,y} = {2,5}