Question

Solve the system algebraically.
y = – 4x + 6
y = – 4x + 5

Answer 1

We conclude that -1 = 0 is false, therefore the system of equations has no solution.

Explanation:

Given the system of equations

y = – 4x + 6

y = – 4x + 5

solving the system of the equations

`\begin{bmatrix}y=-4x+6\\ y=-4x+5\end{bmatrix}`

Substitute y = -4x+5

`\begin{bmatrix}-4x+5=-4x+6\end{bmatrix}`

Refine – 4x + 5 = – 4x + 6

-1 = 0

FALSE!

NO SOLUTION!

We conclude that -1 = 0 is false, therefore the system of equations has no solution.