Solve this system 8x-4y=16 , y=2x-4 by substitution
Plug in 2x-4 in place of y in the first equation. Solve the resulting equation in x only. Once you have x, use either equation to get y.
To solve the given system of equations using the substitution method, follow these steps:
Step 1: Start with the first equation:
8x - 4y = 16
Step 2: Solve the second equation for one variable in terms of the other:
y = 2x - 4
Step 3: Substitute the expression for y in the first equation with the one obtained in the second equation:
8x - 4(2x - 4) = 16
Step 4: Simplify and solve the equation for x:
8x - 8x + 16 = 16
-8 = 16
Since -8 is not equal to 16, the equation is contradictory. Therefore, there are no solutions to this system of equations.
In conclusion, there is no solution to the system of equations because the equations are contradictory, resulting in an inconsistency.