What is the solution of the system?

y=-3x
3x+2y=6
A. (2, 6)
B. (-1,3)
C. (-2,6)
D. (1.5, -4.5)

1 answer

To find the solution of the system, we can substitute the value of y from the first equation into the second equation.

From the first equation, we have y = -3x.

Substituting y = -3x into the second equation, we get 3x + 2(-3x) = 6.

Simplifying, we get 3x - 6x = 6.

Combining like terms, we get -3x = 6.

Dividing both sides by -3, we get x = -2.

Substituting x = -2 into y = -3x, we get y = -3(-2) = 6.

Therefore, the solution of the system is (-2, 6).

The correct answer is C. (-2, 6).