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  • 23-05-2019
  • Mathematics
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solve system of equations for a 3=10a+b 2=20a+b

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gmany
gmany gmany
  • 05-07-2019

Answer:

[tex]\large\boxed{a=-\dfrac{1}{10}=0.1}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}3=10a+b\\2=20a+b&\text{change the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}3=10a+b\\-2=-20a-b\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad1=-10a\qquad\text{divide both sides by (-10)}\\.\qquad-\dfrac{1}{10}=a\Rightarrow a=-\dfrac{1}{10}[/tex]

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