1. **方程调整**:将第一个方程 \(2x + 3y = 1\) 乘以 2,得到 \(4x + 6y = 2\)。 2. **消元**:用新方程减去第二个方程 \(4x + 2y = 7\): \[ (4x + 6y) - (4x + 2y) = 2 - 7 \implies 4y = -5 \implies y = -\frac{5}{4} \] 3. **代入求解**:将 \(y
B. (1,1,1) C. (-2,-2,-2) D. (-1,-1,-1) 相关知识点: 试题来源: 解析 D 结果一 题目 Solve the system of equations using Gaussian elimination. ( )A. B. C. D. 答案 D相关推荐 1Solve the system of equations using Gaussian elimination. ( )A. B. C. D. 反馈 收藏 ...
Solve the system of equations using elimination: 4x−5y=1 x−5y=−11Solving a System of Equations (Elimination Method)When solving a system of equations, one can make use of the elimination method. The elimination method requires eliminating other variables first such that a solution co...
利用消元法求解每个方程组 1. x-y=1 (1)x+y=3 (2)解 (2)-1×(1)代替(2)，原方程组化为 x-y=1 (1)2y=2 (2)解得y=1代入(1)得x-1=1，x=2，故方程组的解为 x=2，y=1.2. 3x-y=26 (1)-2x-y=-24 (2)解 (2)-(-2/3)×(1)代替(2)，...
Solve the system of equation by using the elimination method: {eq}\ \ \ x+6y=12 \\ -x+7y=1 {/eq} Elimination Method: {eq}\\ {/eq} The method of elimination is a powerful tool in order to get the solution of two equations in terms of two variables. In...
In Exercises 25-34, solve the given system of equations using either Gaussian or Gauss-Jordan elimination.28.2w + 3x- y + 4z = 13w- x + z = 13w-4x+y- z= 2 相关知识点: 试题来源: 解析 答案:W=1-t.x=2-2t, y=7-4t.z=t,t∈R 解析:方程组对应的矩阵为 23-14: 厂 3—101 3...
equation . -2x+4y-2z=-30 -4x+8y-4z=-60 (2x+3y-3z=1)/(7y-5z=-29 (4x+10y-5z)/(18y-9z=-63) Now you have two linear equations in two variables. Solve this system. Eliminate z by multiplying each side of the first equation by -9 and each side of the second equation by 5...
Solve Systems of Equations by Elimination quiz for 8th grade students. Find other quizzes for Mathematics and more on Quizizz for free!
Solve the system of linear equations by using inverse matrix formula. {x−2y=52x−3y=10 Solving System of Equations using Matrix Inverse: If we care given two or more than two equations, then we can write those equations in the form of the matrix given as X=A−1B , w...
Answer to: Solve the system of equations using matrices. x + y + z = 12 x - y + z = 4 x + z = 8 By signing up, you'll get thousands of step-by-step...