solve 2 divided by X + 3 / Y is equal to 13 and 5 divided by x minus 4 Y is equal to 13
Answers 1
Step-by-step explanation:
x = 1/2, y = 1/3
Solution:
Given Equations Reducible to a Pair of Linear Equations in two variables:
2/x+3/y = 13 ----(1)
5/x-4/y = -2 -(2)
If we substitute 1/x = a and 1/y = b, we get the following pair of linear equations:
2a+3b=13 ---(3)
5a-4b = -2 -(4)
Coefficients of b are 3 and 4 and
their LCM is 12.
Using the elimination method.
Equation (3) x 4 8a+12b=52
Equation (4) × 3 15a-12b=-6 X
'b' terms have opposite sign, so we add the two equations.
23a= 46
=> a = 46/23
=> a = 2
Substitute the value of a in equation (3), we get
=> 2x2 +3b=13
=> 4+3b= 13
=> 3b = 13-4
=> 3b = 9
=> b = 9/3
=> b=3
But 1/x = a = 2 => x = 1/2
1/y=b=3=> y = 1/3
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