Solving a System of Equations by Elimination
To solve a system of equations by elimination, we need to simplify it in such a way that one of the variables cancels out and leave only one to solve for.
We are given the equations:
x - 3y = 7
2x - 6y = 12
To eliminate the variable x, we need to have their coefficients add up to zero.
This can be done by multiplying the top equation by -2 and add the two resulting equations.
Answer: 3. Multiply the top equation by -2
Note: This system has no solution because the equations are represented as parallel lines.