If 3x + 5y = 9 and 5x + 3y = 7 then what is value of x + y. a 16 b 2. c 9. d,7
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1
Step-by-step explanation:
· 3x+5y=9-----(1). 5x+3y=7-----(2). multiplying eq(1) by 5 & eq(2) by 3 we get. 15x +25y=45. -15x ± 9y= - 21. ______. 16y=24. y= 1624
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SOLUTION
- 3x + 5y = 9 (i)
- 5x + 3y = 7 (ii)
We will solve this by elimination method,
Multiply (i) by 3 and (ii) by 5,we get;
- 9x + 15y = 27 (iii)
- 25x + 15y = 35 (iv)
Subtracting (iii) from (iv), we get;
- 16x = 8
- x = 8 / 16
- x = 1 / 2
Putting the value of x in (i) we get;
- 3 × 1 + 5y = 9
2
- 3 + 5y = 9
2
- 3 + 10y = 9
2
- 3 + 10y = 9 × 2
- 3 + 10y = 18
- 10y = 18 - 3
- y = 15 ÷ 10
- y = 3 / 2
Now,
- x + y = 1 + 3
2 2
- 1 + 3 =) 4 / 2 = 2
2
- So, x + y = 2
OPTION II IS CORRECT
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