solve the following simultaneous equations : (1) 2x + 3y = 7 ; 2y - x = 0
Answers
Hey dear here is your answer!!!!!
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Firstly, lets note down both the equations provided to us:-
2x + 3y = 7 ...(1)
2y - x = 0
Multiply the second equation by two.
2(2y - x = 0 )
4y - 2x = 0 ...(2)
Now, add both the equations (1) and (2) :-
( 2x + 3y ) + ( 4y - 2x ) = 7
2x + 3y + 4y - 2x = 7
Add the like terms:-
7y = 7
y =
y = 1
Now, substitute the value of 'y' in any of the equations:-
2(1) - x = 0
2 - x = 0
- x = -2
x = 2
So, the value of 'x' and 'y' are 2 and 1 respectively !
❣️⭐ Hope it helps you dear...⭐⭐❣️❣️
Step-by-step explanation:
Firstly, lets note down both the equations provided to us:-
2x + 3y = 7 ...(1)
2y - x = 0
Multiply the second equation by two.
2(2y - x = 0 )
4y - 2x = 0 ...(2)
Now, add both the equations (1) and (2) :-
( 2x + 3y ) + ( 4y - 2x ) = 7
2x + 3y + 4y - 2x = 7
Add the like terms:-
7y = 7
y = \frac{7}{7}
7
7
y = 1
Now, substitute the value of 'y' in any of the equations:-
2(1) - x = 0
2 - x = 0
- x = -2
x = 2
So, the value of 'x' and 'y' are 2 and 1 respectively !
I hope you will like my answer