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A year ago With this problem there is no solution If you multiply 3x 2y 18 by 2 I chose 2 so when you add the equations together variables cancel out you get 6x 4y 36 When you add 6x 4y 36 and 6x 4y 8 you get 0 on the left side of the equation and 28 on the right side
HOW TO SOLVE A SYSTEM OF EQUATIONS BY ELIMINATION Write both equations in standard form If any coefficients are fractions clear them Make the coefficients of one variable opposites Decide which variable you will eliminate Multiply one or both equations so that the coefficients of that variable are opposites
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Solving Systems Of Equations By Elimination Worksheets Math Monks
Solving Systems Of Equations By Elimination Worksheets Math Monks
The elimination method is a technique for solving systems of linear equations Let s walk through a couple of examples Example 1 We re asked to solve this system of equations 2 y 7 x 5 5 y 7 x 12 We notice that the first equation has a 7 x term and the second equation has a 7 x term
For any expressions a b c and d if and then a c a c b d b d if a b and c d then a c b d To solve a system of equations by elimination we start with both equations in standard form Then we decide which variable will be easiest to eliminate
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Solving Equations By Elimination Worksheet Kamberlawgroup
Solving Equations By Elimination Worksheet Kamberlawgroup
Example 3 Use elimination to solve the system of equations 10y 3 and 4x 5y 5 x 10y 3 4x 5y 5 Multiply x 10y 3 by 4 Then add the two equations Substitute 1 5 for y into either original equation Then solve for y The solution of this system is 1 1 5 4x 40y 12 4x 5y 5
Solving Systems of Equations Elimination with Multiplication O O O 6x 28 14 8 Answers o 3x 4y 25 10 15x 12y 81 18 y 30 19 lox 26 6x 6y 24 3x 5y 17
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HOW TO SOLVE A SYSTEM OF EQUATIONS BY ELIMINATION Write both equations in standard form If any coefficients are fractions clear them Make the coefficients of one variable opposites Decide which variable you will eliminate Multiply one or both equations so that the coefficients of that variable are opposites
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Systems of Equations Elimination with Multiplication Solve each system by elimination 1 4 x 2y 20 8x 3y 16 1 8 2 2x 3y 6 5x 9y 15 3 0 3 5x 3y 28 4x 6y 14 5 1 4 20x 6y 6 10x 4y 4 0 1 5 3x 6y 6 9x 12y 18 2 0 6 2x 4y 6
HOW TO SOLVE A SYSTEM OF EQUATIONS BY ELIMINATION Write both equations in standard form If any coefficients are fractions clear them Make the coefficients of one variable opposites Decide which variable you will eliminate Multiply one or both equations so that the coefficients of that variable are opposites
Systems of Equations Elimination with Multiplication Solve each system by elimination 1 4 x 2y 20 8x 3y 16 1 8 2 2x 3y 6 5x 9y 15 3 0 3 5x 3y 28 4x 6y 14 5 1 4 20x 6y 6 10x 4y 4 0 1 5 3x 6y 6 9x 12y 18 2 0 6 2x 4y 6
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