Find the choice below which gives a first step in solving the given system of equations by the addition method
6x - 5y = 12
x + y = 3
well you didn't list the choices so I'm going to say isolating x or y would be your first step.
To solve the given system of equations by the addition method, we need to eliminate one of the variables by adding or subtracting the two equations.
Looking at the given equations:
1. 6x - 5y = 12
2. x + y = 3
We can see that if we multiply equation 2 by a suitable number, we can make the coefficients of y in both equations the same. This will allow us to add the equations and eliminate y.
The choice that gives a first step in solving the system of equations by the addition method is to multiply the second equation by 5.
Therefore, the correct choice for the first step is to multiply equation 2 by 5:
5 * (x + y) = 5 * 3
The resulting equation will be:
5x + 5y = 15
Now, we can add this modified equation with the first equation and proceed further to solve the system of equations.