mr. brown is creating examples of systems of equations. he completes the steps to find the solution of the…

mr. brown is creating examples of systems of equations. he completes the steps to find the solution of the equation below.\n5x + 2y = 8\n-4(1.25x + 0.5y = 2)\n5x + 2y = 8\n-5x - 2y = -8\n0 = 0\nbased on this work, what is the solution to the system?\n(-4, -4)\n(0, 0)\nno solution\ninfinitely many solutions

mr. brown is creating examples of systems of equations. he completes the steps to find the solution of the equation below.\n5x + 2y = 8\n-4(1.25x + 0.5y = 2)\n5x + 2y = 8\n-5x - 2y = -8\n0 = 0\nbased on this work, what is the solution to the system?\n(-4, -4)\n(0, 0)\nno solution\ninfinitely many solutions

Answer

Explanation:

Step1: Analyze the result of elimination

When we perform the elimination method on the system of equations $5x + 2y=8$ and $- 4(1.25x + 0.5y = 2)$ (which simplifies to $-5x-2y=-8$), and add the two equations $5x + 2y=8$ and $-5x - 2y=-8$, we get $0 = 0$.

Step2: Determine the nature of solutions

If, after performing valid operations on a system of linear - equations, we get an identity like $0 = 0$, it means the two equations represent the same line. So, there are infinitely many solutions.

Answer:

infinitely many solutions