Question

Which system of equations is equivalent to this system?
4(x+y)=2x+12 4x+y=x+8

Answer 1

The equivalent system of equations is 4y = -2x + 12 and 3x + y = 8.

Step-by-step explanation:

To find the equivalent system of equations, we can start by simplifying the first equation:
4(x+y) = 2x + 12
Expanding the left side:
4x + 4y = 2x + 12
Subtracting 2x from both sides:
4y = -2x + 12
Now, let's simplify the second equation:
4x + y = x + 8
Subtracting x from both sides:
3x + y = 8

So, the equivalent system of equations is:
4y = -2x + 12
3x + y = 8

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