Calculate the solution to these simultaneous equations using the elimination method: (1)(1)𝑝+3𝑞p+3q==1414 (2)(2)4𝑝+3𝑞4p+3q==2929

Question

Calculate the solution to these simultaneous equations using the elimination method: (1)(1)𝑝+3𝑞p+3q==1414 (2)(2)4𝑝+3𝑞4p+3q==2929
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Solution 1

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

Given equations are:

  1. p + 3q = 14
  2. 4p + 3q = 29

Step 1: Align the equations so that like terms are vertically aligned:

p + 3q = 14 4p + 3q = 29

Step 2: Subtract the first equation from the second to eliminate q:

(4p + 3q) - (p + 3q) = 29 - 14

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