if 15x + 17y = 21 and 17x + 15y =11 then find the value x + y =?
Answers
Answer:
15x+17y=21-------eq 1
17x+15y=11-------eq 2
Adding eq 1 and 2
15x+17y=21
+17x+15y=11
__________
32x+32y=32
Dividing both side by 32
x+y=1
If 15x + 17y = 21 and 17x + 15y = 11 then the value of x + y = 1
Given :
15x + 17y = 21 and 17x + 15y = 11
To find :
The value of x + y
Solution :
Step 1 of 2 :
Write down the given system of equations
The given system of equations are
15x + 17y = 21 - - - - - (1)
17x + 15y = 11 - - - - - (2)
Step 2 of 2 :
Find the value of x + y
Adding Equation 1 and Equation 2 we get
15x + 17y + 17x + 15y = 21 + 11
⇒ 15x + 17x + 17y + 15y = 32
⇒ 32x + 32y = 32
⇒ 32( x + y ) = 32
⇒ x + y = 32/32
⇒ x + y = 1
The value of x + y = 1
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