find the values of x and y if 3x-1/5 (y-4)=6 and 3y + 1/9(x-2)=12
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10th
Maths
Pair of Linear Equations in Two Variables
Algebraic Solution of a Pair of Linear Equations
If 3x - 2y = 5 and 3y - 2x ...
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Asked on December 26, 2019 by
Rajender Ranganatha
If 3x−2y=5 and 3y−2x=3 then find the value of (x+y).
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ANSWER
3x−2y=5............ (1)
3y−2x=3
−2x+3y=3
Multiply (1) by 2 & eq (2) by 3
6x−4y=10..........(3)
−6x+9y=19..........(4)
_______________
Adding eqn (3) and (4), we get
6x−4y=10
−6x+9y=19
___________
5y=1
y=
5
1
Putting the value in
6x−
5
4
=10
6x=10+
5
4
=
5
54
x=
5×6
54
=
5
9
x=
5
9
Now x+y=
5
9
+
5
1
=
5
10
=2$$
x+y=2
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