Question

BRIEFLY EXPLAIN HOW YOU FOUND YOUR ANSWERS FOR #44. 2y = – 4x + 12y = - 2x + 4

Answer 1

No solution.

Step-by-step explanation

We want to solve the system of equations:

`\begin{gathered} 2y=-4x+12 \\ y=-2x+4 \end{gathered}`

To do this, substitute the value of y in the second equaiton into the first equation:

`\begin{gathered} \Rightarrow2(-2x+4)=-4x+12 \\ -4x+8=-4x+12 \end{gathered}`

Collect like terms:

`\begin{gathered} -4x+4x=12-8 \\ 0=4 \end{gathered}`

As we can see, we have that 0 is equal to 4.

This shows that the system of equations has no solution.