3x+4y=5,4x+y=-2 find x and y values
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Answered by
6
Hi there !
There are many methods to find the values of x and y.Like,
- Substitution method
- Cross-multiplication Method
- Elimination Method
Look at the attachment ↑↑
Verification :-
4(-1)+2= -4+2
= -2
= R.H.S
Thankyou :)
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Answered by
2
Answer:
x = - 1
y = 2
Step-by-step-explanation:
The given linear equations are
3x + 4y = 5 - - - ( 1 ) &
4x + y = - 2
⇒ y = - 2 - 4x
⇒ y = - 4x - 2 - - - ( 2 )
By substituting this value of y in equation ( 1 ),
3x + 4y = 5 - - - ( 1 )
⇒ 3x + 4 ( - 4x - 2 ) = 5 - - - [ From ( 2 ) ]
⇒ 3x - 16x - 8 = 5
⇒ - 13x = 5 + 8
⇒ - 13x = 13
⇒ x = - 13 / 13
⇒ x = - 1
Now, by using x = - 1 in equation ( 2 ) ,
y = - 4x - 2 - - - ( 2 )
⇒ y = - 4 * ( - 1 ) - 2
⇒ y = 4 - 2
⇒ y = 2
∴ The solution of the given equations is
( x, y ) = ( - 1, 2 ).
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