find the value of ( x + y ) if i. ) 5x - 2y = 5 ; x + 8y = 25
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Equations 5x-2y=45x−2y=4 and x+8y=26x+8y=26
To find : The value of x+yx+y ?
Solution :
5x-2y=45x−2y=4 .....(1)
x+8y=26x+8y=26 .....(2)
Substitute the value of x from (2) in (1),
5(26-8y)-2y=45(26−8y)−2y=4
130-40y-2y=4130−40y−2y=4
42y=12642y=126
y=\frac{126}{42}y=
42
126
y=3y=3
Substitute the value in (2),
x+8(3)=26x+8(3)=26
x=26-24x=26−24
x=2x=2
Now add the value of x and y,
x+y=2+3x+y=2+3
x+y=5x+y=5
Therefore, the value is x+y=5x+y=5 .
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