Question 1

Please help me im stuck

Question 2

Answer:

a = -0.5

Explanation:

$\rm Solve \: for \: a: \\ \rm \longrightarrow - (1)/(4)a - 4 = (7)/(4)a - 3 \\ \\ \rm Put \: each \: term \: in \: - (1)/(4)a - 4 \: over \: the \\ \rm common \: denominator \: 4: \\ \rm - (a)/(4) - 4 = - (a)/(4) - (16)/(4) : \\ \rm \longrightarrow - (a)/(4) - (16)/(4) = (7)/(4)a - 3 \\ \\ \rm - (a)/(4) - (16)/(4) = ( - a - 16)/(4) : \\ \rm \longrightarrow ( - a - 16)/(4) = (7)/(4)a - 3 \\ \\ \rm Put \: each \: term \: in \: (7)/(4)a - 3 \: over \: the \\ \rm common \: denominator \: 4: \\ \rm (7a)/(4) - 3 = (7a)/(4) - (12)/(4) : \\ \rm \longrightarrow ( - a - 16)/(4) = (7a)/(4) - (12)/(4) \\ \\ \rm (7a)/(4) - (12)/(4) = (7a - 12)/(4) : \\ \rm \longrightarrow ( - a - 16)/(4) = (7a - 12)/(4) \\ \\ \rm Multiply \: both \: sides \: by \: 4: \\ \rm \longrightarrow \frac{ - a - 16}{ \cancel{4}} * \cancel{4}= \frac{7a - 12}{ \cancel{4}} * \cancel{4} \\ \\ \rm \longrightarrow -a - 16 = 7 a - 12 \\ \\ \rm Subtract \: 7 a \: from \: both \: sides: \\ \rm \longrightarrow (-a - 7 a) - 16 = (7 a - 7 a) - 12 \\ \\ \rm -a - 7 a = -8 a: \\ \rm \longrightarrow -8 a - 16 = (7 a - 7 a) - 12 \\ \\ \rm 7 a - 7 a = 0: \\ \rm \longrightarrow -8 a - 16 = -12 \\ \\ \rm Add \: 16 \: to \: both \: sides: \\ \rm \longrightarrow (16 - 16) - 8 a = 16 - 12 \\ \\ \rm 16 - 16 = 0: \\ \rm \longrightarrow -8 a = 16 - 12 \\ \\ \rm 16 - 12 = 4: \\ \rm \longrightarrow -8 a = 4 \\ \\ \rm Divide \: both \: sides \: of \: -8 a = 4 \: by \: -8: \\ \rm \longrightarrow </p><p> ( - 8a)/( - 8) = (4)/( - 8) \\ \\ \rm ( - 8)/( - 8) = 1: \\ \rm \longrightarrow a = - (4)/( 8) \\ \\ \rm - (4)/( 8) = - (1)/(2) : \\ \rm \longrightarrow a = - (1)/(2) \\ \\ \rm \longrightarrow a = - 0.5$

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