Question

mr. brown is creating examples of systems of equations. he completes the steps to find the solution of the equation below.\\(\

$$\begin{array}{r}5x + 2y = 8\\\\-4(1.25x + 0.5y = 2)\\\\\\hline 5x + 2y = 8\\\\-5x - 2y = -8\\\\\\hline 0 = 0\\end{array}$$

\\)based on this work, what is the solution to the system?\\(\bigcirc\\ (-4, -4)\\)\\(\bigcirc\\ (0, 0)\\)\\(\bigcirc\\) no solution\\(\bigcirc\\) infinitely many solutions

Explanation:

Step1: Analyze the simplified system

After expanding and subtracting the equations, we get $0=0$.

Step2: Interpret the result

A true statement $0=0$ means the two original equations are equivalent, representing the same line.

Answer:

infinitely many solutions