Answer: x = 1/7 , y = 5/14
Explanation:
There seems to be a mistake in the given equation, as there are two equal signs. However, assuming that the equation is meant to be:
4x - 2y + 3x + 1 = 2
We can simplify it by combining like terms:
7x - 2y + 1 = 2
Next, we can isolate the term containing y by subtracting 7x and 1 from both sides:
-2y = -7x + 1
Finally, we can solve for y by dividing both sides by -2:
y = (7/2)x - 1/2
To solve for x, we can rearrange the original equation and substitute the expression we found for y:
4x + 3x = 2 - 1
7x = 1
x = 1/7
Therefore, the solution for the system of equations 4x - 2y + 3x + 1 = 2 is:
x = 1/7
y = (7/2)x - 1/2 = 5/14