Solve using the elimination method. If the system has no solution or an infinite number of solutions, state this.

divide the first equation by -3.

Aren't they the same line?

I got no solution

use the elimation method to solve the system of equations.

a+8b=11

-3x+4y=29

3x+2y=-17

To solve the system of equations using the elimination method, we need to eliminate one variable by adding or subtracting the equations.

First, let's choose one equation and multiply it by a constant to make the coefficients of x or y equal. Let's multiply the second equation by -3:

-3(9x + 6y) = -3(60)
-27x - 18y = -180

Now, we can add the equations together to eliminate the x variable:

-27x - 18y + (-27x - 18y) = -180 + (-180)
-54x - 36y = -360

Simplifying the equation, we have:

-54x - 36y = -360

Now, let's see if this equation is equivalent to the original first equation. We can divide both sides by -9 to check:

(-54x)/(-9) - (36y)/(-9) = -360/(-9)
6x + 4y = 40

As we can see, -54x - 36y = -360 simplifies to 6x + 4y = 40, which is exactly the same as the original second equation. This means that the two equations are equivalent and represent the same line.

Since there is no unique solution and the two equations represent the same line, the system has infinitely many solutions.