Find the value of B - D in the following equation- Ax - By - Cx - Dy - E x - FA- -F-B-D y-A-C-EB- -F-A-C-E xC- - F - A - C - E y - yD- -F-D-B x-A-C-E

The correct option is B F (A+C E)x/yGiven equation is (Ax+By)+(Cx Dy)=Ex F Now, ⇒ Ax+By+Cx Dy=Ex F ⇒ Ax+Cx Ex+By Dy= F ⇒(A+C E)x+(B D)y= F ⇒(B D)y= F (A+C E)x ...

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Standard VII

Mathematics

Transposing Method

Find the valu...

Question

Find the value of (B-D) in the following equation.
$(A x + B y) + (C x - D y) = E x - F$

\frac{- F - (B - D) y}{(A + C - E)}

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\frac{- F - (A + C - E) x}{y}

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\frac{- F - (A + C - E) y}{x}

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\frac{- F + (D - B) x}{(A + C - E)}

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Solution

The correct option is B $\frac{- F - (A + C - E) x}{y}$
Given equation is
$(A x + B y) + (C x - D y) = E x - F$
Now,
$\Rightarrow A x + B y + C x - D y = E x - F$
$\Rightarrow A x + C x - E x + B y - D y = - F$
$\Rightarrow (A + C - E) x + (B - D) y = - F$
$\Rightarrow (B - D) y = - F - (A + C - E) x$
$\Rightarrow (B - D) = \frac{- F - (A + C - E) x}{y}$

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Find the value of (B-D) in the following equation. (Ax+By)+(Cx−Dy)=Ex−F

The correct option is B −F−(A+C−E)xyGiven equation is (Ax+By)+(Cx−Dy)=Ex−F Now, ⇒Ax+By+Cx−Dy=Ex−F ⇒Ax+Cx−Ex+By−Dy=−F ⇒(A+C−E)x+(B−D)y=−F ⇒(B−D)y=−F−(A+C−E)x ⇒(B−D)=−F−(A+C−E)xy

Find the value of (B-D) in the following equation.
$(A x + B y) + (C x - D y) = E x - F$