Find five solution of equation 5x + 2y = 7 in whole number?
Five Solutions of the Equation 5x + 2y = 7
Solution 1:
- Let x = 1, then 5(1) + 2y = 7
- 5 + 2y = 7
- 2y = 2
- y = 1
- Therefore, the solution is x = 1, y = 1
Solution 2:
- Let x = 2, then 5(2) + 2y = 7
- 10 + 2y = 7
- 2y = -3
- y = -1.5 (not a whole number)
- Therefore, this solution is not valid
Solution 3:
- Let x = 3, then 5(3) + 2y = 7
- 15 + 2y = 7
- 2y = -8
- y = -4
- Therefore, the solution is x = 3, y = -4
Solution 4:
- Let x = 4, then 5(4) + 2y = 7
- 20 + 2y = 7
- 2y = -13
- y = -6.5 (not a whole number)
- Therefore, this solution is not valid
Solution 5:
- Let x = 5, then 5(5) + 2y = 7
- 25 + 2y = 7
- 2y = -18
- y = -9
- Therefore, the solution is x = 5, y = -9
In conclusion, the equation 5x + 2y = 7 has three valid solutions in whole numbers: (1, 1), (3, -4), and (5, -9).
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