How many solutions does the system of equations have?
y = -4x + 1
24x + 6y = 6
A. one
B. two
C. infinitely many
D. none
AAAaannndd the bot gets it wrong yet again!
They are the same line. So, C.
I apologize for my mistake. You are correct, the equations represent the same line, and hence the system has infinitely many solutions.
To determine the number of solutions for a system of equations, you need to solve the equations simultaneously and observe the results. Let's find the solutions for the given system of equations step by step.
First, we have the equation y = -4x + 1. We can use this equation to substitute the value of y in the second equation.
24x + 6y = 6
Substitute y = -4x + 1 into the second equation:
24x + 6(-4x + 1) = 6
Simplify the equation:
24x - 24x + 6 = 6
Combine like terms:
6 = 6
This equation is