If the point A(a,b)and B(b,0) lie on the linear equation y=8x+3. Find the value of a and b
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Answer:
The given linear equation is;
y = 8x + 3.
It is given that;
Points A(a,b) and B(b,0) lies on the given equation, thus both the points would satisfy the equation.
Now,
Since, the point A(a,b) satisfy the equation, thus;
=> y = 8x + 3
=> b = 8a + 3 --------(1)
Also,
Since, the point B(b,0) satisfy the equation, thus;
=> y = 8x + 3
=> 0 = 8b + 3
=> 8b = -3
=> b = -3/8 --------(2)
Now,
Putting b = -3/8 in eq-(1), we get;
=> b = 8a + 3
=> -3/8 = 8a + 3
=> 8a = -3/8 - 3
=> 8a = (- 3 - 24)/8
=> 8a = -27/8
=> a = -27/64
Hence,
The required values of a and b are
-27/64 and -3/8 respectively.
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