Solve. 2x+y=7,x-y=1
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Answer:
The value of x = 8/3 and the value of y = -5/3.
Step-by-step explanation:
Equation 1.
2x + y = 7 - - - - - - - 1.
Equation 2.
x - y = 1 - - - - - - 2.
By elimination method :
Multiply equation 2. by ( -1)
( x - y = 1 ) x ( -1 )
-x + y = -1 - - - - - - - 3.
Subtracting equation 1. and equation 3. :
( 2x + y ) - ( -x + y ) = 7 - (-1 )
3x + y + x - y = 7 + 1
3x = 8
x = 8/3
Put the value of x = 8/3 in equation 2.
x - y = 1
8/3 - y = 1
-y = 1 - 8/3
-y = -5/3
y = 5/3
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