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
I have an answer but I seriously doubt it's wrong. Please help for this one? Thanks
I believe that C is correct.
-2 is x, and 6 is y.
First equation:
y = -3x
Substitute -2 for x, and 6 for y.
6 = -3 x -2
6 = 6
So that is correct.
Second equation:
3x + 2y = 6
Substitute -2 for x, and 6 for y.
(3 x -2) + (2 x 6) = 6
Multiply.
-6 + 12 = 6
Add.
6 = 6
That is also correct.
Therefore, I think C is the correct answer.
I hope this helps! :)
Yes, thank you so much Brady!:D I now understand! (I was making it a lot harder than necessary)
You're welcome SkatingDJ! :)
I had to do these for some of my lessons too, and they were one of the easiest things for me(Especially if you substitute.).
To find the solution to the given system of equations, we will use the method of substitution. Let's start solving the system step by step:
1. Start with the first equation: y = -3x.
2. Substitute this value of y into the second equation.
3x + 2(-3x) = 6
3x - 6x = 6
-3x = 6
x = -2
3. Now that we have the value of x, substitute it into the first equation to find y.
y = -3(-2)
y = 6
4. Therefore, the solution to the system of equations is x = -2, y = 6.
Comparing this solution to the options provided, we can see that the correct answer is option c. -2, 6.
If you obtained a different answer, please double-check your calculations to ensure accuracy.