Substitution
X-6y=4
3x-18y=4
To solve this system of equations using substitution, we'll start by solving one equation for one variable and then substituting that expression into the other equation.
Let's solve the first equation, X - 6y = 4, for X:
X = 4 + 6y
Now, substitute this expression for X in the second equation, 3x - 18y = 4:
3(4 + 6y) - 18y = 4
Expand and simplify:
12 + 18y - 18y = 4
The y terms cancel out, leaving us with:
12 = 4
This equation is not true, since 12 is not equal to 4. Therefore, there is no solution to this system of equations.
If we had obtained a true statement, such as 0 = 0, it would indicate that this system has infinite solutions, meaning that both equations represent different forms of the same line and are coincident.
However, in this case, there is no common solution for both equations.
X = 6y + 4
In Eq2, replace x with 6y+4
3(6y+4)-18y = 4
18y + 12 - 18y = 4
12 = 4. NO solution!