Solve the following pair of linear equations
3x + 2y = 11
5x - 2y = 13
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Answer:
Solve equation [2] for the variable x
[2] 5x = 2y + 13
[2] x = 2y/5 + 13/5
// Plug this in for variable x in equation [1]
[1] 3•(2y/5+13/5) + 2y = 11
[1] 16y/5 = 16/5
[1] 16y = 16
// Solve equation [1] for the variable y
[1] 16y = 16
[1] y = 1
// By now we know this much :
x = 2y/5+13/5
y = 1
// Use the y value to solve for x
x = (2/5)(1)+13/5 = 3
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