Question

Without graphing, decide whether the system of equations has one solution, no solution, or infinitely many solutions.How many solutions does the system of equations have?y=4x+5y=-4x+5One solutionNo solutionInfinitely many solutions

Answer 1

One​ solution

Step-by-step explanation:

Given the system of equations:

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

If you compare the two lines, the slopes are different.

Thus, the system of equations has only one​ solution.