A certain game is played on a board that shows a portion of the xy-coordinate plane. During one move in the game, a marker at a point (a, b) is first moved to the point (b, a) and then moved 3 units to the left. During such a move, a marker that is at (4,3) will be moved to

(0,4)

Step-by-step explanation:

Given: During one move in the game, a marker at a point (a,b) is first moved to the point (b,a) .                                                                     (i)

And then moved 3 units to the left.                                   (ii)

Translation rule to move a point (x,y) c units left : (x,y)→(x-c,y)

Now, (4,3)  first will become (3,4)  [using (i)]

Then, (3,4)→(3-3,4)=(0,4)   [using (ii) and translation rule]

Hence, During such a move, a marker that is at (4,3) will be moved to (0,4).

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w