if 2x-y =2 and 5x+2y=14,then the value of x+y is
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Step-by-step explanation:
Given -
2x - y = 2
5x + 2y = 14
To Find -
- Value of x + y
Now,
By Elimination method :-
→ [ 2x - y = 2 ] × 2
[ 5x + 2y = 14 ] × 1
→ 4x - 2y = 4
5x + 2y = 14
___________
→ 9x = 18
→ x = 18/9
→ x = 2
Now, Substituting the value of x on 2x - y = 2, we get :
→ 2(2) - y = 2
→ 4 - 2 = y
→ y = 2
The value of x is 2 and y is 2
Then, The value of x + y is
→ 2 + 2
→ 4
Hence,
The value of x + y is 4
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