Solve the system of equations: 10x = 4.6 + 3y 24y + 3.2y = 6x 17.2y - 6x = 0 -3y + 10x = 4.6 36y - 30x = 0 -9y + 30x = 43.8 27y = 13.8 y = 13.8 / 27 y = 138 / 270 = 23 / 45

The system of equations is: 1) 10x = 4.6 + 3y 2) 24y + 3.2y = 6x 3) 17.2y - 6x = 0 4) -3y + 10x = 4.6 5) 36y - 30x = 0 6) -9y + 30x = 43.8

From equation (5), 36y = 30x, so y = 30x/36 = 5x/6.

Substitute y = 5x/6 into equation (4): -3(5x/6) + 10x = 4.6. This simplifies to -5x/2 + 10x = 4.6, which gives 15x/2 = 4.6, so x = 9.2/15 = 4.6/7.5 = 46/75.

Substitute x = 46/75 into y = 5x/6: y = 5/6 * 46/75 = 230/450 = 23/45.