Answer:
y = 6x
x = 6x
Explanation:
To solve this system of equations, we can first rewrite the equations in standard form, where the left-hand side of the equation is equal to zero. To do this, we can subtract the constants 3 and 12 from both sides of the equations, respectively. This gives us the equations:
Y = -2x
8x + 4y = 0
To solve this system, we can use the elimination method, which involves multiplying one or both equations by constants to eliminate one of the variables. Let's multiply the first equation by 4 and the second equation by -2:
4Y = -8x
-16x - 8y = 0
Now we can add the two equations together to eliminate the x-variable:
-16x - 8y = 0
4Y = -8x
Adding these two equations gives us:
-8y + 4Y = -8x - (-16x)
-8y + 4Y = -24x
Next, we can simplify the left-hand side of the equation by combining like terms:
(-8y + 4Y) = -24x
-4y = -24x
Finally, we can divide both sides of the equation by -4 to solve for the y-variable:
y = 6x
Thus, the solution to this system of equations is x = 6x.
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