Solve the following system of equations
x+4y=3(1)
x=6-4y (2)
To solve this system of equations, you can use the substitution method. Here's how you can do it:
Step 1: Solve one equation for one variable in terms of the other variable. Let's solve equation (2) for x:
x = 6 - 4y
Step 2: Substitute the expression for x in terms of y into the other equation. Substitute x = 6 - 4y in equation (1):
6 - 4y + 4y = 3
Simplifying the equation:
6 = 3
Step 3: Since this equation is a contradiction (6 does not equal 3), there is no solution to the system of equations.
Therefore, the system of equations is inconsistent, meaning there is no combination of x and y that satisfy both equations simultaneously.