algebra

Solution: To solve this system by substitution, first solve one of the equations for one of the variables in terms of the other. Choose to solve the second equation for y by subtracting x from both sides: 2y = 20 - x Substitute this into the first equation for y, and solve for x: 2x - 3(20 - x) = 2 2x - 60 + 3x = 2 5x = 62 x = 12.4 Finally, substitute this value of x into either of the original equations to determine the corresponding value of y: 2x - 3y = 2 2(12.4) - 3y = 2 24.8 - 3y = 2 3y = 22.8 y = 7.6 Therefore, the solution to this system is (x, y) = (12.4, 7.6).