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Solve for x if ab ≠ 2c

Solve For X If Ab 2c class=

Sagot :

Wallind123

[tex]x = \frac{ac + b}{2c - ab} [/tex]

Refer to the attachment for step by step explaination.

View image Wallind123
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Answer:

[tex]x=\frac{b+ax}{2c-ba}[/tex]

Step-by-step explanation:

When given the following expression, one is asked to solve for (x):

[tex]\frac{2x-a}{b}=\frac{ax+1}{c}[/tex]

Use cross products to rid the variable in the denominator,

[tex]c(2x-a)=b(ax+1)[/tex]

Simplify, distribute, multiply every term in the parenthesis by the term outside of it,

[tex]2xc-ac=bax+b[/tex]

Inverse operations, collect all terms with variable (x) on one side of the equation:

[tex]2xc-ac = bax + b\\\\2xc - bax = b + ac[/tex]

Factor, remove a like term that exists in both of these expressions,

[tex]x(2c-ba)=b+ax[/tex]

Inverse operations,

[tex]x=\frac{b+ax}{2c-ba}[/tex]

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