Question

How many solutions does the system of equations have? Explain1. Y = 5x - 4 Y = -4 + 5xNumber of solutions:Explain Why2. Y=2x+3 Y=-3x+63. Y=-4x+5 Y=-4x+5

Answer 1

The equations are

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

Solve the equations for varaible x.

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

Since each side of the equation is equal to each other. So lines overlap each other and there are infinitely many solution for the equations.