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Solve for a: b − 2a = c

Sagot :

mastercookie55

Answer:

[tex]a=-\frac{c-b}{2}[/tex]

Step-by-step explanation:

Solving for the variable [tex]a[/tex], given that :

[tex]b-2a=c[/tex]

We can first start start by subtracting [tex]b[/tex] from both sides of the equation:

[tex]-2a=c-b[/tex]

Now, we can divide both sides of the equation by the coefficient of [tex]a[/tex], which would be [tex]-2[/tex]:

[tex]a=\frac{c}{-2}-\frac{b}{-2}[/tex]

Applying the fraction rule [tex]\frac{a}{c}\pm\frac{b}{c} =\frac{a\pm b}{c}[/tex]:

[tex]a=\frac{c-b}{-2}[/tex]

Then, apply the fraction rule [tex]\frac{a}{-b} =-\frac{a}{b}[/tex]

[tex]a=-\frac{c-b}{2}[/tex]

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