IF 2X +Y -5=0 AND 3X +2Y-8=0 THEN FIND THE VALUE OF X+Y
Answers
Answer:
3
Step-by-step explanation:
3X+2Y=8
2X+Y=5
now subtracting 2nd equation from 1st we get
X+Y=3
SOLUTION
GIVEN
2x + y - 5= 0 and 3x + 2y - 8 = 0
TO DETERMINE
The value of x + y
EVALUATION
Here the given system of equations are
2x + y - 5= 0 - - - - - (1)
3x + 2y - 8 = 0 - - - - (2)
Multiplying Equation 1 by 2 we get
4x + 2y - 10 = 0 - - - - - (3)
Equation 3 - Equation 2 gives
x - 2 = 0
⇒ x = 2
From Equation 1 Putting the values of x we get
( 2 × 2 ) + y - 5 = 0
⇒ 4 + y - 5 = 0
⇒ y - 1 = 0
⇒ y = 1
So x = 2 & y = 1
∴ x + y = 2 + 1 = 3
FINAL ANSWER
Hence the required value of x + y = 3
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