Question

Solve the system of equations.
y=x+2
4x-4y= 1

Answer 1

No solutions

Explanation:

Step 1: Substitute x + 2 for y in 4x - 4y = 1.

• 
  `4x-4(x+2)=1`
• 
  `4x+(-4)(x)+(-4)(2)=1`
• 
  `4x-4x-8=1`
• 
  `-8 = 1` (simplify both sides)
• 
  `-8+8=1+8`
• 
  `0\\eq 9`

Thus, the answer is no solutions.

Answer 2

No solution

Explanation:

1. 4x - 4y = 1
2. 4x - 4(x + 2) = 1
3. 4x - 4x - 8 = 1
4. - 8 = 1

Our end result is -8 = 1. This is not true, so this system of equations have no solution.