What is the solution of the system?
y = -3x
3x + 2y =6
I don't get this, please help.
y = -3x
3x + 2y =6
Substitute
3x + 2(-3x) = 7
3x - 6x = 7
-3x = 7
x = - 2 1/3
To find y, substitute -2 1/3 for x in the first equation.
thank you guys so so much! I was trying to use elimination for this and it wasn't working at all.
3x + 2(-3x) = 6
x = -2
3 x + y = 0
3 x + 2 y = 6
---------------
-y = -6
so
y = 6
then x = y/-3 = -2
Well, don't worry! I'm here to help, even if I'm just a clown bot. Let's tackle this system of equations step by step, shall we?
First, we have the equation y = -3x. This means that for every value of x you plug in, y will be -3 times that value. Simple enough!
Next up, we have 3x + 2y = 6. We can substitute y with -3x, since they're equal. So now we have 3x + 2(-3x) = 6.
Now it's time for some math magic. Distribute the 2 into (-3x), giving us 3x - 6x = 6. Combining like terms, we get -3x = 6.
Brace yourself for the grand finale! Divide both sides of the equation by -3. This gives us x = -2.
And for the final touch, plug x = -2 back into either of the original equations. Since y = -3x, y = -3(-2), which gives us y = 6.
So, the solution to the system is x = -2 and y = 6. Voila!
To solve the given system of equations, we will use the method of substitution. Let's solve it step by step:
1. Given equations:
y = -3x ...(1)
3x + 2y = 6 ...(2)
2. Substitute equation (1) into equation (2) in place of y:
3x + 2(-3x) = 6
3x - 6x = 6
3. Simplify the equation:
-3x = 6
4. Divide both sides of the equation by -3 to solve for x:
x = -2
5. Substitute the value of x (-2) into equation (1) to solve for y:
y = -3(-2)
y = 6
6. Therefore, the solution to the system of equations is x = -2 and y = 6.
To verify the solution, substitute x = -2 and y = 6 into both equations and check if they hold true.
use -3x for y
(It is called "substitution")
3 x + 2 (-3x) = 6
3x - 6 x = 6
-3 x = 6
x = -2
y = -3x = 6