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Example 3:Solve the simultaneous equations by elimination method2 5yNote: By makingcoefficients ofone unknown inboth equations tobe the LCM ofthe givencoefficientx3 4yx  1220

Question

Example 3:Solve the simultaneous equations by elimination method2 5yNote: By makingcoefficients ofone unknown inboth equations tobe the LCM ofthe givencoefficientx3 4yx  1220

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Solution

It seems like there's a formatting issue with your question. However, I'll try to solve the simultaneous equations using the elimination method.

Let's assume the equations are:

  1. 2x + 5y = 12
  2. 3x - 4y = 20

Step 1: Multiply the first equation by 4 and the second equation by 5 to make the coefficients of y the same in both equations:

  1. 8x + 20y = 48
  2. 15x - 20y = 100

Step 2: Add the two equations together:

23x = 148

Step 3: Solve for x:

x = 148 / 23 x = 6.43 (rounded to two decimal places)

Step 4: Substitute x = 6.43 into the first equation:

2(6.43) + 5y = 12 12.86 + 5y = 12 5y = 12 - 12.86 5y = -0.86 y = -0.86 / 5 y = -0.17 (rounded to two decimal places)

So, the solution to the simultaneous equations is x = 6.43 and y = -0.17.

This problem has been solved

Similar Questions

Example 2:Solve the simultaneous equations by elimination method3 2yx   x2y8,5 .

Calculate the solution to these simultaneous equations using the elimination method: (1)(1)2𝑓−3𝑒2f−3e==33 (2)(2)𝑓+3𝑒f+3e==1515

Calculate the solution to these simultaneous equations using the elimination method: (1)(1)𝑔+3ℎg+3h==1818 (2)(2)4𝑔+3ℎ4g+3h==3636

Identify if the following simultaneous equations are set up for the elimination method: (1)(1)4𝑏−2𝑎4b−2a==1414 (2)(2)6𝑏+2𝑎6b+2a==99

Solve the linear equation in three methods a)Substitution b) Elimination c) Graphical 1)      2x + 7 = 3y                                          2)   x – 3y = 5                                4x + 7y = 12                                                2x + 5y = -1                  3)    5x + 3y =4                                            4)   3x + 4y = 25       3x + 5y = 9                                                      x + y = 7

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