2. Solve the following equation for b. 6b + 2a - 4 = 2b + 3a
$b = a + 1
b= 5a+1/2
b= a+4/4
b= 5a+4/8
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[tex]\bigstar\boxed{\bf\purple{\leadsto b=\dfrac{a+4}{4}}}[/tex]
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➠ On solving the given equation for b :
[tex]\rm{\longrightarrow 6b+2a-4=2b+3a}[/tex]
[tex]\rm{\longrightarrow 6b-2b=3a-2a+4}[/tex]
[tex]\rm{\longrightarrow 4b=a+4}[/tex]
[tex]\rm{\longrightarrow b=\dfrac{a+4}{4}}[/tex]
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Given that :
To Find :
Solution :
[tex]\qquad \sf \: { \dashrightarrow 6b + 2a - 4 = 2b + 3a }[/tex]
[tex]\qquad \sf \: { \dashrightarrow 6b - 2b - 4 = 3a - 2a }[/tex]
[tex]\qquad \sf \: { \dashrightarrow 4b - 4 = a }[/tex]
[tex]\qquad \sf \: { \dashrightarrow 4b = a + 4}[/tex]
[tex]\qquad \bf \: { \dashrightarrow b = \dfrac{a + 4}{4} }[/tex]