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Question
Solve the system of equations x – 2y = 0, 3x + 4y = 20.
Sum
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Solution
Given: x – 2y = 0, 3x + 4y = 20
Step-wise calculation:
Step 1: From x – 2y = 0, get x = 2y.
Step 2: Substitute into 3x + 4y = 20:
3(2y) + 4y = 20
⇒ 6y + 4y = 20
⇒ 10y = 20
⇒ y = 2
Step 3: Back-substitute:
x = 2y
= 2 × 2
= 4
The solution is x = 4, y = 2.
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