Answer:(x,y)= 82/5, -17/2Step-by-step explanation:Write as a system of equation5x + 8y = 146 - 9 - 2y = 14solve the equation for y6 - 9 - 2y = 14 calculate the difference -3 - 2y = 14move constant to the right side and change its sign-2y = 14 + 3add the numbers-2y = 17divide both sides of the equation by -2y = -17/25x + 8y = 14y = -17/2substitute the given value of y into the equation 5x + 8y = 14 5x + 8 x (-17/2) =14solve the equation for x multiplying a positive and a negative equals a negative 2x -8 x 17/2 = 145x - 4 x 17 = 14multiply the numbers5x - 68 = 14move constant to the right side and change its sign5x = 14 + 68Add the numbers 5x = 82divide both sides of the equation by 5x = 82/5the possible solution of the system is the ordered pair (x , y) (x,y) = (82/5, -17/2)check if the given ordered pair is the solution of the system of equations5 x 82/5 + 8x (-17/2) = 6 - 9 - 2x (-17/2) = 14simplify the expression 14 = 14 = 14 since all of the equalities are true, the ordered pair is the solution of the system (x, y) = (82/5, -17/2