Answer
𝑥 = 3
𝑦 = 2
Work Step by Step
𝑥 = 𝑦 + 1 (these Leg sides are equal as given on the textbook)
𝑥 + 3 = 3𝑦 (these Hypotenuse sides are equal as given on the textbook)
𝑥 + 3 = 3𝑦
(𝑦 + 1) + 3 = 3𝑦 (substitute 𝑦 + 1 for 𝑥)
𝑦 + 1 + 3 = 3𝑦
𝑦 + 4 = 3𝑦 (add like terms)
4 = 3𝑦 - 1𝑦 (subtract 1𝑦 from both sides)
4 = 2𝑦 (divide both sides by 2)
2 = 𝑦
𝑥 = 𝑦 + 1
𝑥 = 2 + 1 (substitute 2 in for 𝑦)
𝑥 = 3
Check your answer:
𝑥 = 𝑦 + 1
3 = 2 + 1
3 = 3
𝑥 + 3 = 3𝑦
3 + 3 = 3(2)
6 = 6
