solve the equation 4x-5y+16=0 and 2x+y-6=0 not using graphical method
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Step-by-step explanation:
we. can sove this by elimination method
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On solving the equations 4x - 5y + 16 = 0 and 2x + y - 6 = 0 not using graphical method, we get
x = 1
y = 4
Given:
Equations:
4x - 5y + 16 = 0
2x + y - 6 = 0
To find:
The value of x and y by solving this equation without using graphical method.
Solution:
We are given the equations:
4x - 5y + 16 = 0 ---(1)
2x + y - 6 = 0 ---(2)
Multiplying equation (2) with 5, we get
10x + 5y - 30 = 0 ---(3)
Adding the equations (1) and (3), we get
(4x - 5y + 16) + (10x + 5y - 30) = 0
=> 14x - 14 = 0
=> 14x = 14
=> x = 1
Substituting the value of x in equation (2), we get
2(1) + y - 6 = 0
=> 2 + y - 6 = 0
=> y - 4 = 0
=> y = 4
Hence,
x = 1
y = 4
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