Question

Question
Solve the system of equations.
6x−3y=−6
9x−3y=−18 (1 point)
(
,
)

Answer 1

To solve this system of equations, we can use the method of substitution or elimination.

Let's use the method of elimination by adding the two equations together:

6x - 3y = -6
9x - 3y = -18
--------------
15x - 6y = -24

Now we can simplify the equation:
3(5x - 2y) = -24
5x - 2y = -8

Now we have a new equation:
5x - 2y = -8

We can solve this equation for y:
-2y = -5x - 8
y = (5/2)x + 4

Now we can substitute this value of y into one of the original equations to solve for x. Let's use the first equation:
6x - 3y = -6
6x - 3((5/2)x + 4) = -6
6x - (15/2)x - 12 = -6
(12/2)x - (15/2)x = 6
-3x = 6
x = -2

Now we can substitute x = -2 back into the equation we found for y:
y = (5/2)(-2) + 4
y = -5 + 4
y = -1

Therefore, the solution to the system of equations is:
x = -2
y = -1

So, the coordinates of the solution are (-2, -1).