Not sure about this...
Need to solve by substitution
8x - 4y = 16
y = 2x -4
Substitute 2x -4 for y in the first equation and solve the resulting equation for x.
8x - 4(2x-4) = 16
16 = 16
The two equations are not independent. One can be derived fron the other. There are an infinite number of solutions
To solve this system of equations by substitution, you need to substitute the expression for y in terms of x from the second equation into the first equation.
First, let's start with the given equations:
Equation 1: 8x - 4y = 16
Equation 2: y = 2x - 4
To substitute y in Equation 1, replace y with 2x - 4:
8x - 4(2x - 4) = 16
Now, simplify the equation by distributing the -4 to the terms inside the parentheses:
8x - 8x + 16 = 16
Combine like terms:
16 = 16
You can see that the resulting equation is always true, indicating that the two equations are not independent. In other words, one equation can be derived from the other.
This means that the system of equations has an infinite number of solutions. Any values of x and y that satisfy either Equation 1 or Equation 2 simultaneously will be a solution to the system.