x + 4y = 7
5x + 2y = 7
描述解决这个方程系统所需的步骤.
下面是解决这个线性方程系统的步骤:步骤1:写下两个方程:x + 4y = 7 5x + 2y = 7步骤2:乘出第一个方程为5,以消除x变量: 5(x + 4y) = 5(7) 5x + 20y = 35步骤3:从新的第一个方程减去第二个方程,以消除x: (5x + 20y) - (5x + 2y) = 35 - 7 5x + 20y - 5x - 2y = 28 18y = 28步骤4:通过将两边分为18: 18y/18 = 28/18 y = 28/18 y = 14/9步骤5:将y的值置于原始方程之一来解决x: x + 4y = 7 x + 4y) = 7 x + 14 x = 7 x + 56/9 = 7 x = 56/9 = 7 x = 6 x = 6 x = 6 x / 9 / 9 / 9 / 9 / 9 / 6 - 6 x = 7 x = 7 x = 14 x = 7 x = 7 x = 9 x = 7 x = 7 x = 7 x = 9 x = 7 x = 7 x = 9 x = 6 x = 7 x = 7 x = 7 x = 9 x = 7 x = 7 x = 7 x = 7 x = 7 x = 9 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x = 7 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x