Question 60856: Solve the system by addition. 5x – 3y = 13 4x – 3y = 11
Answer by praseena(37) (Show Source):
You can put this solution on YOUR website! Solve the system by addition.
5x – 3y = 13 ----------(1)
4x – 3y = 11 ----------(2)
subtract second equation from first equation
===> 5x -3y - (4x - 3y ) = 13 - 11
===> 5x - 3y -4x + 3y = 3
==> 1x = 3
==> x = 3
thus we got the value x = 3
now substitute this value any one of the given equations.
here let us put x = 3 in the first equation, 5x -3y
==> 5* 3 - 3*y = 13
==> 15 -3y = 13
==> 15 -13 = 3y
==> 2 = 3y
==> y = 2/3
so the solution for this pair of equations is,
x = 3
y = 2/3
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