What is the solution of the system?
y = -3x
3x + 2y = 6
(2, 6)
(-1, 3)
(-2, 6)
(1.5, -4.5)
I got (-2,6)
3x+y=0
3x+3y=6
subtract the equaotions
-2y=-6
y=3 which the noly possible answer is the second.
WHO IS RIGHT THO
To find the solution of the system, we need to find the values of x and y that satisfy both equations. Let's start by rearranging the first equation:
y = -3x
Now let's substitute this expression for y in the second equation:
3x + 2(-3x) = 6
3x - 6x = 6
-3x = 6
x = -2
Now that we have the value of x, we can substitute it back into the first equation to find y:
y = -3(-2)
y = 6
So the solution to the system is (x, y) = (-2, 6). Now let's compare this solution to the options given:
(2, 6) - This is not the correct solution, as the x-value is positive instead of negative.
(-1, 3) - This is not the correct solution, as the x-value is not -2.
(-2, 6) - This is the correct solution, as both the x and y values match.
(1.5, -4.5) - This is not the correct solution, as the x-value is not -2.
Therefore, the solution to the system is (x, y) = (-2, 6).