Answer:
True.
See below for explanation.
Step-by-step explanation:
Reason 1
- When we solve the equation by combining both equations in one, the variable will become 0.
Proof
[tex] \begin{cases} y = 4x - 3 \\ y = 4x - 5 \end{cases} \\ 4x - 3 = 4x - 5 [/tex]
Combine like terms.
[tex]4x - 4x = - 5 + 3 \\ 0 = - 2[/tex]
See that the equation is false no matter which numbers you substitute in x-term.
Reason 2
- Both graphs are parallel and don't have any intercepts to each others.
See the attachment below for graphs.
Since both graphs do not really have intercepts, that means they do not provide any solutions. Hence, no solutions.
