Question

how many solutions does the system of equations below have?
y = 10x + 1
y = 10x + 1
no solution
one solution
infinitely many solutions
submit

Explanation:

Step1: Analyze the equations

The system has two equations: \( y = 10x + 1 \) and \( y = 10x + 1 \). These are the same linear equation.

Step2: Determine the number of solutions

For a linear equation in two variables \( y = mx + b \), if two equations are identical, every point that satisfies one equation will satisfy the other. So, there are infinitely many pairs \((x, y)\) that satisfy both equations.

Answer:

infinitely many solutions