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-12u+3=8v+1 helppppp me out wit this

-12u+3=8v+1 helppppp me out wit this-example-1

2 Answers

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Subtract 3 from both sides

-12u = 8v + 1 - 3

Simplify 8v + 1 - 3 to 8v - 2

-12u = 8v - 2

Divide both sides by -12

u = - 8v - 2/12

Factor out the common term 2

u = - 2(4v - 1)/12

Simplify 2(4v - 1)/12 to 4v - 1/6

u = - 4v - 1/6

User Arnold Brown
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You want g (u), so we have to solve this equation for v.


8v+1=-12u+3\qquad\text{subtract 1 from both sides}\\\\8v=-12u+2\qquad\text{divide both sides by 8}\\\\v=(2-12u)/(8)\\\\v=(2:2-12u:2)/(8:2)\\\\v=(1-6u)/(4)\\\\v=(1)/(4)-(6)/(4)u\\\\v=(1)/(4)-(6:2)/(4:2)u\\\\v=(1)/(4)-(3)/(2)u\\\\Answer:\ \boxed{g(u)=(1)/(4)-(3)/(2)u}

User DonDyck
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