If 4x+3y=10, 3x+4y=-3 Then find the value of x+y
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Given :
- 4x + 3y = 10
- 3x + 4y = -3
To find :
x + y
Solution :
We are given two linear equations in two variables ( x & y) now we need to find the value of x and y individually and than add them to find (x+y)
- 4x + 3y = 10 equation 1
- 3x + 4y = -3 equation 2
Add equation 1 and 2, ( LHS of equation 1 will be added to LHS of equation 2 , and similarly RHS of equation 1 will be added to RHS of equation 2)
➝ ( 4x + 3y ) + ( 3x + 4y ) = 10 + ( -3 )
➩ ( 4x + 3x ) + ( 4y + 3y ) = 10 - 3
➩ 7x + 7y = 7
➩ 7(x+y) = 7
➩ (x+y) = 7/7
➩ (x+y) = 1
Note - Here we get the required value ( of x+y ) directly, so we don't need to find value of x and y seperately
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