solve the pair of linear equation x+3y=5, 2x-3y=12
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Answer:
The final answers are
x = 17/3
y = -2/9
Step-by-step explanation:
Given,
We have two equations,
x + 3y = 5
2x - 3y = 12
We multiply the first equation by 2 so that the x coefficients are the same.
( x + 3y = 5 ) * 2
2x + 6y = 10
2x - 3y = 12
Subtracting both these equations, we get
2x + 6y = 10
-2x + 3y = -12
9y = -2
y = -2/9
Substituting y = -2/9 in the first equation we get,
x + 3 * -2/9 = 5
x -2/3 = 5
x = 5 + 2/3
x = 15/3 + 2/3
x = 17/3
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