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 5x −5y = − 15 5x 3y = 1 0 − 8y = −16 Divide by −8 y = −16 −8 = 2 Substitute this is 1 x − (2) = −3 Add 2 to both sides2x 3y = 5 multiply by 2 to get 4x 6y = 10 (4) 15x 2y = 23 multiply by 3 to get 45x 6y = 51 (5) Now add (4) and (5) to get 41x = 41 and solving for x we get x = 1 To find y we

X+y=3 4x-3y=26 elimination method

X+y=3 4x-3y=26 elimination method-Gauss elimination method Transform the augmented matrix into upper triangular or echelom form AX=B a 1 b 1 c 1 a 2 b 2 c 2 a 3 b 3 c 3 X 1 X 2 X 3 d 1 d 2 d 3 Find augmented matrix for given system C=AB 1 b 1 1 c 1 1 d 1 0 1 c1 2 d 2 1 0 0 1 d3 1 Find the equations corresponding to upper triangular matrixX – z = 1 y 2z = 3 0 = 4 That means, there is no solution for the given system of equations Gauss Elimination Method Problems Solve the following system of equations using Gauss elimination method x y z = 9 2x 5y 7z = 52 2x y – z = 0 Solve the following linear system using Gaussian elimination method 4x – 5y = 6

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Equation of the form a 1 x b 1 y c 1 z = d 1, a 2 x b 2 y c 2 z = d 2 and a 3 x b 3 y c 3 z = d 3 here a and b are not equal;3x 5y 8 = 0 asked in LinearSUBSTITUTION METHOD EXAMPLES The following steps will be useful to solve the systems of linear equations using substitution Step 1 In the given two equations, solve one of the equations either for x or y Step 2 Substitute the result of step 1 into other equation and solve for the second variable Step 3

 If the linear equation in two variables 2x –y = 2, 3y –4x = 2and px–3y = 2are concurrent, then find the value of p If ܽa b = 35 and a − b =6x = 12 (guessed) Solve the system by the elimination method 3x 2y 7 = 0 26 terms aaixnaa Other Quizlet sets CEP America Pathophysiology CoronarySolve the system using substitution method 2x y = 2 5x 3y = 9 2 Solve the system using elimination or addition method 11x = 5 – 4y 2(x – 2y) = 22 y 3 Solve the system by the method of your choice 4x y = 0 3y z = 1 4x z = 12 4 Solve the system using elimination method 2x2 3y2 = 11 x2 4y2 = 8

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Solve the system using substitution method 2x 3y = 5 x y = 5 2 Solve using elimination my addition method 4x 3y = 8 5x 6y = 1 3 Solve for (x,y,z) 3x 2yz = 2 4x y 2z = 11 3x 2y z = 6 4 Solve, list all ordered pairs separately 3x2 y2 = 18 2x2 3y2 = 10 5 Graph the ellispe by showing all 4 vertices and the 2 fociAnswer (1 of 2) x, y=(21/5, 10 2/5) PREMISES 3xy=23 and 4x3y=48 A simultaneous equation in 2 variables y=3x23 CALCULATIONS 3xy=23 and 4x3y=48 A simultaneous equation in 2 variables 3(3xy=23)(4x3y=48) (9x3y)(4x3y)=69–48 9x4x=21 5x=21 x=21/5 and, If

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