x+y =11 , 2x -3y is
Answers
Required Answer:-
Given:
- x + y = 11
- 2x - 3y = 7
To find:
- The value of x and,
- The value of y
Answer:
- The value of x is 8 and,
- The value of y is 3.
Solution:
Using substitution method,
Given,
➡ x + y = 11
➡ x = 11 - y .....(i)
Again,
➡ 2x - 3y = 7 .......(ii)
Substituting x in equation (ii), we get,
➡ 2 × (11 - y) - 3y = 7
➡ 22 - 2y - 3y = 7
➡ -5y = 7 - 22
➡ -5y = -15
➡ y = 3
Hence,
y = 3
From (i), x = 11 - y
= 11 - 3
= 8
Hence,
The value of x is 8 and,
The value of y is 3.
Using elimination method,
Given,
➡ x + y = 11 ......(i)
And,
➡ 2x - 3y = 7 .......(ii)
Multiplying equation (i) by 3, we get,
➡ 3x + 3y = 33 ......(iii)
Adding equations (i) and (iii), we get,
➡ 2x - 3y + 3x + 3y = 7 + 33
➡ 5x = 40
➡ x = 8
From (i), x + y = 11
➡ 8 + y = 11
➡ y = 11 - 8
➡ y = 3
Hence,
x = 8 and
y = 3.
Verification:
Let us verify our result.
When x = 8 and y = 3
x + y
= 8 + 3
= 11 and,
2x - 3y
= 2 × 8 - 3 × 3
= 16 - 9
= 7
Hence, the values of x and y are 8 and 3 (Verified)
Answer:
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