Find the value of x in kx - a - m x - bA- b-a-k-mB- -1C-D- m - k - a - b

The correct option is A b a/k m Given equation is: kx +a = mx + b ⇒ kx – mx = b –a [mx is transposed as –mx, a is transposed as –a] ⇒ x(k – m) = b – a ⇒ x=b a/ ...

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Standard VII

Mathematics

Solving Equations with Variable on Both Sides

Find the valu...

Question

Find the value of $x$ in $k x + a = m x + b$ .

$\frac{b - a}{k - m}$

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$\frac{a - b}{k - m}$

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$\frac{k - m}{a - b}$

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$\frac{m - k}{a - b}$

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Solution

The correct option is A
$\frac{b - a}{k - m}$

Given equation is: $k x + a = m x + b$
$\Rightarrow$ $k x - m x = b - a$
[mx is transposed as –mx, a is transposed as –a]
$\Rightarrow$ $x (k - m) = b - a$
$\Rightarrow x = \frac{b - a}{k - m}$

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Find the value of x in kx+a=mx+b.

The correct option is A b−ak−m Given equation is: kx+a=mx+b ⇒ kx–mx=b–a [mx is transposed as –mx, a is transposed as –a] ⇒ x(k–m)=b–a ⇒x=b−ak−m

Find the value of $x$ in $k x + a = m x + b$ .

The correct option is A
$\frac{b - a}{k - m}$

Given equation is: $k x + a = m x + b$
$\Rightarrow$ $k x - m x = b - a$
[mx is transposed as –mx, a is transposed as –a]
$\Rightarrow$ $x (k - m) = b - a$
$\Rightarrow x = \frac{b - a}{k - m}$