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What are the values of x and y when 3x plus 2y equals 5 and x plus 2y equals 7 showing work?
Wiki User
∙ 7y ago
Solve the simultaneous equations by eliminating one of the variables and solving for the other variable, substitute the found value back into one of the equations to solve for the eliminated variable, and then substitute both values found into the other equation as a check:
- 3x + 2y = 5
- x + 2y = 7
- {1} - {2} → (3x - x) + (2y - 2y) = 5 - 7 → 2x = -2
As there is 27 in both equations, subtract one from the other ({1}-{2}) and then solve {3}
2x = -2
→ x = -1
Substituting back into equation {2}:
x + 2y = 7
-1 + 2y = 7
→ 2y = 8
→ y = 4
Checking by substituting for x and y in {1}:
3x + 2y = 5
3×-1 + 2×4 = -3 + 8 = 5 as required
→ The required solution is x = -1, y = 4.
Wiki User
∙ 7y ago
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