If 11x+13y=7.4 and 13x+1ly=7.0 then 10(x+y) is _
a. 0.6 b. 1.2 c. 6.0 d. 12.0
.
Answers
SOLUTION
TO CHOOSE THE CORRECT OPTION
If 11x + 13y =7.4 and 13x+11y = 7.0 then 10(x+y) is
a. 0.6
b. 1.2
c. 6.0
d. 12.0
EVALUATION
Here the given system of equations are
11x + 13y =7.4 - - - - - (1)
13x+11y = 7.0 - - - - - -(2)
On addition we get
24x + 24y = 14.4
⇒24( x + y ) = 14.4
⇒( x + y ) = 0.6
⇒ 10( x + y ) = 10 × 0.6
⇒ 10( x + y ) = 6.0
FINAL ANSWER
Hence the correct option is c. 6.0
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