whats the subsitution method for:
7x+63y=12
x=3-9y
The substitution method is a technique used to solve systems of equations by substituting one equation into the other.
Let's solve the given system of equations using the substitution method:
1. Start with the given equations:
7x + 63y = 12 (Equation 1)
x = 3 - 9y (Equation 2)
2. We have equation 2 in terms of 'x', so we can substitute this expression into equation 1:
7(3 - 9y) + 63y = 12
3. Simplify and solve for 'y':
21 - 63y + 63y = 12
21 = 12
4. If the equation had variables on both sides, you would move them to one side to solve for the remaining variable. However, in this case, we ended up with an inconsistent equation, 21 = 12, which means the system of equations has no solution.
Therefore, in this case, the substitution method led us to conclude that there is no solution to the given system of equations.