jennileebeukes9
Answered

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make x the subject of the formula x(a-b)=a(b-x).​

Sagot :

caylus

Answer:

Hello,

Step-by-step explanation:

[tex]x(a-b)=a(b-x)\\\\x(a-b)=ab-ax\\\\x(a-b)+ax=ab\\\\x(a-b+a)=ab\\\\x(2a-b)=ab\\\\\\x=\dfrac{ab}{2a-b} \ if\ 2a-b\neq 0[/tex]

Answer:

[tex]{ \sf{x(a - b) = a(b - x)}} [/tex]

Open the brackets:

[tex]{ \sf{ax - bx = ab - ax}} \\ { \sf{2ax - bx= ab }}[/tex]

Factorise out x:

[tex]{ \sf{x(2a - b) = ab}} \\ { \sf{x(2a - b) = ab}} \\ { \sf{x = \frac{ab}{2a - b} }}[/tex]

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