Calculate the solution to these simultaneous equations using the elimination method: (1)(1)2𝑥+𝑦2x+y==00 (2)(2)𝑥−𝑦x−y==66

Question

Calculate the solution to these simultaneous equations using the elimination method: (1)(1)2𝑥+𝑦2x+y==00 (2)(2)𝑥−𝑦x−y==66
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Solution 1

Sure, let's solve these simultaneous equations step by step:

  1. The given equations are: 2x + y = 0 ...(Equation 1) x - y = 6 ...(Equation 2)

  2. To use the elimination method, we need to make the coefficients of y the same in both equations. We can do this by multiplying Equation 2 by 2:

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