Question

a-2b=0 ;3a+2b=-4
pls give correct ans​

Answer 1

♣ Qᴜᴇꜱᴛɪᴏɴ :

Solve for a and b :

$\sf{a-2b=0\:,\:3a+2b=-4}$

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♣ ᴀɴꜱᴡᴇʀ :

$\boxed{\sf{a=-1,\:b=-\frac{1}{2}}}$

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♣ ᴄᴀʟᴄᴜʟᴀᴛɪᴏɴꜱ :

$\sf{\begin{bmatrix}a-2b=0\\\\ 3a+2b=-4\end{bmatrix}}$

Isolate a for a - 2b = 0 :

$\sf{a-2b=0}$

$\implies\sf{a-2b+2b=0+2b}$

$\implies\sf{a=2b}$

$\mathrm{Subsititute\:}a=2b$

$\begin{bmatrix}3\cdot \:2b+2b=-4\end{bmatrix}$

$\begin{bmatrix}8b=-4\end{bmatrix}$

Isolate b for 8b = -4 :

$\sf{8b=-4}$

$\implies\sf{\displaystyle\frac{8b}{8}=\frac{-4}{8}}$

$\implies\sf{b=-\dfrac{1}{2}}$

$\mathrm{For\:}a=2b$

$\mathrm{Subsititute\:}b=-\dfrac{1}{2}$

$a=2\left(-\dfrac{1}{2}\right)$

$a=-1$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$\boxed{\sf{a=-1,\:b=-\frac{1}{2}}}$