52. Substitution

Example


𝑥+𝑦=10(Equation1)2𝑥−𝑦=5(Equation2)


  1. Solve Equation 1 for 𝑦
𝑦=10−𝑥
  1. Substitute into Equation 2
2𝑥−(10−𝑥)=5
  1. Solve for x:
2𝑥−10+𝑥=53𝑥−10=53𝑥=15𝑥=5
  1. Find 𝑦 using value of 𝑥
𝑦=10−𝑥𝑦=10−5𝑦=5