To solve this system of equations, we can use the method of elimination. Let's start by multiplying the first equation by 2.3 to eliminate the x variable: 2.3(3x - 3y) = 2.3(6) 6.9x - 6.9y = 13.8 Now let's write down the second equation: 2.3x + 3y = 21 Now we can add the two equations together: (6.9x - 6.9y) + (2.3x + 3y) = 13.8 + 21 9.2x - 3.9y = 34.8 Now we have a new equation: 9.2x - 3.9y = 34.8 We can solve this equation for x: 9.2x = 34.8 + 3.9y x = (34.8 + 3.9y) / 9.2 Now substitute this expression for x into the first equation: 3(34.8 + 3.9y) / 9.2 - 3y = 6 Multiply both sides of the equation by 9.2 to eliminate the fraction: 3(34.8 + 3.9y) - 27.6y = 55.2 Distribute the 3: 104.4 + 11.7y - 27.6y = 55.2 Combine like terms: -15.9y = -49.2 Divide both sides by -15.9 to solve for y: y = -49.2 / -15.9 y = 3.08 Now substitute this value for y back into the equation for x: x = (34.8 + 3.9(3.08)) / 9.2 x = 1.74 + 1.01 x = 2.75 Therefore, the solution to the system of equations is x = 2.75 and y = 3.08.