Practice!

Sample Problem

Solve the following linear system

7x = 6y – 1

5x – 4y = 1

x = y =

Solution

7x = 6y – 1

(7x – 6y = -1) × (-4) → -28x + 24y = 4

(5x – 4y = 1) × 6 → 30x – 24y = 6

-28x + 24y = 4

30x – 24y = 6

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2x = 10

x = 5

5(5) – 4y = 1

-4y = -24

y = 6