solve the following simtaneous equation 4x+3y-4=0;6x=8-5y
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Answer:
The answer is x = -2 and y = 4
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Given:
Equation 1=》4x+3y-4=0 =》4x+3y=4
Equation 2=》6x+5y=8
Point to note:
To solve this i am using elimination method.
Solution:
Eq.1=》(4x+3y=4 ) × 6
Eq.2=》(6x+5y=8 ) × 4
Eq.1=》24x+18y=24
Eq.2=》24x+20y=32
Now subtracting Eq.1 from Eq.2 on both hand side
=》24x+18y-(24x+20y)=24-32
=》24x+18y-24x-20y= -8
=》-2y=-8
=》y=4
Now putting the value of y in Eq.1
=》4x+3×4=4
=》4x+12=4
=》4x=4-12
=》4x= -8
=》x= -2
Thus,
x= -2
y=4
Verification:
Putting the value of x and y in Eq.1
4x+3y=4
4×(-2)+3×4=4
-8+12=4
4=4
As L.H.S = R.H.S HENCE VERIFIED
#Answerwithquality
#BAL
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