Question

Solve the system of equations. 6x−3y=−6 9x−3y=−18 (1 point) (, )
Answered by .,.
gimme me a clear answer, please
Answered by GPT 3.5
To solve the system of equations, we can use the method of substitution or elimination.

Let's use elimination method here:

1. 6x - 3y = -6
2. 9x - 3y = -18

Now, we can multiply the first equation by 3 to eliminate y:

3(6x - 3y) = 3(-6)
18x - 9y = -18

Now our system of equations becomes:

18x - 9y = -18
9x - 3y = -18

Next, we can subtract the second equation from the first equation to eliminate y:

18x - 9y - 9x + 3y = -18 - (-18)
9x - 6y = 0

We can simplify this equation by dividing by 3:

3x - 2y = 0

Now we have simplified the system to:

3x - 2y = 0
Now we can solve for x in terms of y:

3x - 2y = 0
3x = 2y
x = 2y/3

Since we have an equation in terms of x, we don't have a unique solution for the system, and we will express the solution in terms of y. The solution is: (2y/3, y) for all y ≠ 0.