【Answer】: x = 1, y = 5
【Explanation】: This is a system of linear equations. To solve it, we can use the method of substitution or elimination. In this case, the coefficients of x in both equations are the same, so we can use the method of elimination.
First, we can set the two equations equal to each other:
3x + 2 = 8 - 3x
Then, we can add 3x to both sides of the equation to eliminate x from the right side:
3x + 3x + 2 = 8
This simplifies to:
6x + 2 = 8
Next, we can subtract 2 from both sides of the equation to isolate 6x:
6x = 8 - 2
This simplifies to:
6x = 6
Finally, we can divide both sides of the equation by 6 to solve for x:
x = 6 / 6
So, x = 1.
Substitute x = 1 into the first equation to solve for y:
y = 3(1) + 2
So, y = 5.
Therefore, the solution to the system of equations is x = 1, y = 5.
