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Solve this system of equations for $x$ and $y$ in terms of $a$ and $b$. \begin{align*} y - 3x &= a, \\ x &= 2y + b. \end{align*}

 Mar 4, 2021
 #1
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y = a + 3x

 

x = 2y + b       sub in the first equation for y

   =  2(a+3x) + b

x = 2a + 6x + b

-5x = 2a + b

x = -1/5 ( 2a + b)          sub this into the top equation     y = a - 3/5 (2a+b)      and simplify a bit ....

 Mar 4, 2021

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