Final answer:
To solve the system of equations using elimination, rearrange the equations to eliminate a variable, then solve for the remaining variable. In this case, rearrange the equations to eliminate x and solve for y, then substitute y into one of the equations to solve for x. The solution is x = 3 and y = 2.
Step-by-step explanation:
To solve the system of equations using elimination, we need to eliminate one of the variables by manipulating the equations.
The first equation is y = x - 1. We can rearrange it to x - y = 1.
The second equation is 4x - 3y = 6. We can multiply the first equation by 4 to get 4x - 4y = 4.
Subtracting the second equation from the first equation, we eliminate the x variable: (4x - 4y) - (4x - 3y) = 4 - 6. Simplifying gives us -y = -2, which we can rewrite as y = 2.
Substituting y = 2 into the first equation, we can solve for x: 2 = x - 1, which simplifies to x = 3.
So the solution to the system of equations is x = 3 and y = 2.