Question

determine the number of solutions for the following system of equations.
y = 6x + 7
y = 6x + 7
one solution
two solutions
infinitely many solutions
no solution

Explanation:

Step1: Analyze the equations

The system has two equations: \( y = 6x + 7 \) and \( y = 6x + 7 \). These are the same linear equation.

Step2: Determine solution type

For a system of linear equations, if two equations are identical (same slope and same y - intercept), they represent the same line. Every point on the line is a solution, so there are infinitely many solutions.

Answer:

Infinitely many solutions (the option: Infinitely many solutions)