5. equation solving using cramers rule
//source code //
#include<iostream>
using namespace std;
int main() {
// we solve the linear system ax+by=e cx+dy=f in this
form
cout<<"Enter 2 Equation in the format ax+by=e &&
cx+dy=f"<<endl; // asking user the input Execting a valid
input
double a,b,e;
double c,d,f;
cin>>a;
cin>>b;
cin>>e;
cin>>c;
cin>>d;
cin>>f;
double determinant = a*d - b*c; //calculating determinant
if(determinant != 0) { // calculating x,y if determinant is not
0
double x = (e*d - b*f)/determinant;
double y = (a*f - e*c)/determinant;
cout<<"Cramer equations system: result, x =
"<<x<<" y = "<<y<<endl;
} else {
cout<<"Cramer equations system: determinant is
zero"<<endl;
cout<<"there are either no solutions or many solutions
exist"<<endl;
}
getchar();
getchar();
return 0;
}
// sample output for the code
using c++. thanks! 5. Write a p rogram that solves the following system of equations using...
Question 8 Write the matrix equation as a system of linear equations without matrices. 8 5 210x1 -21 6 8 0 2 8x+5y + 2z=-2 6x + 2 8X + 5y + 2z =-2 5x +4y= 4 6x +82= 2 5x +4z = 4 6x+ 8z 2 5x+4z =-4 6x + 8y 2
3. Write the following systems of linear equations using augmented matrix form a. 6x+7y= -9 X-y= 5 b. 2x-5y= 4 4x+3y= 5 C. x+y+z= 4 2x-y-z= 2 -x+2y+3z= 5 4. Solve the following Systems of linear equations using Cramer's Rule a. 6x-3y=-3 8x-4y= -4 b. 2x-5y= -4 4x+3y= 5 c. 2x-3y+z= 5 X+2y+z= -3 x-3y+2z= 1
Cramer's Rule: 5. Use Cramer's Rule to find x,y and z for the following system of equations. X 2 7x + 2y - z= -1 ។ 6x + 5y + z = 16 -5x - 4y + 3z = -5 2 : 2 a. Write the coefficient matrix first for the system above. Call it matrix D. 7 2 5 L-8-4 3 1 14 ] = 0 b. Find the determinant of the coefficient matrix (det(D)).
Name Date Period Kuta Software Solving Systems of Equations by Substitution Solve each system by substitution. 1) y=6x-11 2) 2x - 3y = -1 -2x - 3y =-7 y=x-1 3) y=-3x + 5 5x - 4y=-3 4) -3x – 3y = 3 y=-5x-17 5) y=-2 4x - 3y = 18 6) y = 5x - 7 -3x - 2y=-12 7) y=-3x - 19 5x + 8y = 0 8) y = 5x - 3 -x + 7y=-21
Write the matrix corresponding to the following system of linear equations. - 8x + 4y = 2 4x - 3y = 6 What is the corresponding matrix? (Do not simplify.) Tes Change the third equation by adding to it (-3) times the first equation. Give the abbreviation of the indicated operation. (x + 4y + 5z = 4 5x - 3y - 2z = 1 3x + 3y + 2z = 1 The transformed system is x + 5x -...
3. Solve the system of equations: (-x - 7y = 14 1-4X – 14y = 28 4. Solve the system of equations: 3x - 2y = 2 (5x - 5y = 10 5. Solve the system of equations: (2x + 8y = 6 1-x - 4y = -3
Linear Algebra: Use Cramer's Rule to solve the following system of equations. DIRECTIONS: Write up the solution to each problem on a separate sheet of paper. Show your work. Show all matrices, but you may use your calculator to find the inverses. Use Cramer's Rule to solve the following system of equations. 2x1r2 +5x3 +2x4-27 3띠 +2x2 + 2x3-24 = 8
2x y5z 2 5x y 4x y 2z= - Use Cramer's rule to solve the system of equations to the right. If D 0, use another method to complete the solution. Z=-4 L 8 Write the fractions using Cramer's Rule in the form of determinants. det det det det det y= Z= X= det 2x y5z 2 5x y 4x y 2z= - Use Cramer's rule to solve the system of equations to the right. If D 0, use another...
Problem 3. Solve the value of x, y, and z of the given system of equations using matrix algebra. (1) 6x + 8y -7z=-145 9x-3y -62 = -180 -5x + 12y + 4z = 98
4. Solve the following system of linear equations using the inverse matrix method. 1 y = 1 2 , 3 2 -r- 1 5 4 a) x+y +z= 6 x-y-3z=-8 x+y- 2z=-6 b) Solve the following system of linear equations using Cramer's Rule. 5. 2 1 -X- 3 2 1 3 X+-y-1 5 4 y = 1 a) x+y+z= 6 x-y-3z=-8 x+y- 2z = -6 b) 4. Solve the following system of linear equations using the inverse matrix method. 1...