3 years ago

.Solve 5x – 3y = 9 for y

1 answer:

german3 years ago

7 0

Move variable to right -
-3Y=9-5x
Divide both sides by -3 -
y=-3+5 over 3 x 5/3 x(not right besides the 3 it is on the end)

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zysi [14]

Completing the square gives

$\dfrac14x^2+bx+10=\dfrac14(x^2+4bx+40)=\dfrac14(x^2+4bx+4b^2+40-4b^2)$

$\implies\dfrac14x^2+bx+10=\dfrac14(x+2b)^2+10-b^2$

At the point on the graph along the axis of symmetry, the squared term vanishes, so that when $x=6$ , we have $x+2b=0$ . So

$6+2b=0\implies 2b=-6\implies\boxed{b=-3}$

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