In a question like this, always look to get rid of any fractions first, by multiplying by the LCD.
- In this case "7" is the only denominator, so it's also the LCD
- Multiplying everything by it gives us: 7y = 4x + 1
(For the x term, multiplying by 7 just cancels out the denominator, which was the goal)
- Then you move the x term to the left and in front of the y term to match the model: ax + by = c
Which gives you: -4x + 7y = 7
(Remember that switching sides means switching sides, so "4x" becomes "-4x")
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