slove the following simultaneous equation 4x -3y =0; 2x + 5y =26
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the sum and difference of the place values of the underlined digits ... slove the following simultaneous equation 4x -3x =0; 2x + 5
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Solution :-
The given equations are;
4x - 3y = 0 . . . . (1)
2x + 5y = 26 . . . . (2)
Multiply equation (1) by 5 and (2) by 3, we get
20x - 15y = 0 . . . . (3)
6x + 15y = 78 . . . . (4)
Now,
Adding equations (1) and (2), we get,
➜ 20x - 15y + 6x + 15y = 0 + 78
➞ 20x + 6x - 15y + 15y = 78
➞ 26x = 78
➞ x = 78/26
➞ x = 3
Putting the value of x = 3 in equation (2), we get,
➜ 2x + 5y = 26
➞ 2(3) + 5y = 26
➞ 6 + 5y = 26
➞ 5y = 26 - 6
➞ 5y = 20
➞ y = 20/5
➞ y = 4
∴ The value of x = 3, y = 4 is the solution of the system of the given equations.
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