Question

solve the system by graphing: \\(2y = 10x - 12\\) \\(5x - y = 6\\) how many solutions are there? one

Explanation:

Step1: Rewrite equations to slope-intercept form

For $2y=10x-12$:
Divide by 2: $y=5x-6$
For $5x-y=6$:
Rearrange: $y=5x-6$

Step2: Analyze the two equations

Both equations simplify to the same linear equation $y=5x-6$, meaning they represent the exact same line on the graph.

Step3: Determine number of solutions

When two lines are identical, every point on the line is a solution, so there are infinitely many solutions.

Answer:

Infinitely many solutions