Question

Solve for d. -2 2/3 (4d-3) = 1 3/4 (6-3d)

Answer 1

Solving the equation $-2\frac{2}{3}(4d-3)=1\frac{3}{4}(6-3d)$ we get value of d: $d=\frac{-6}{13}$ or $d=-0.461$

Step-by-step explanation:

We need to solve the equation $-2\frac{2}{3}(4d-3)=1\frac{3}{4}(6-3d)$ and find value of d.

Solving:

$-2\frac{2}{3}(4d-3)=1\frac{3}{4}(6-3d)$

Converting mixed fraction into improper fraction

$\frac{-8}{3}(4d-3)=\frac{7}{4}(6-3d)$

Multiplying:

$\frac{-32d}{3}+8=\frac{21}{2}-\frac{21d}{4}$

Adding -8 on both sides:

$\frac{-32d}{3}+8-8=\frac{21}{2}-\frac{21d}{4}-8$

$\frac{-32d}{3}=\frac{21}{2}-\frac{21d}{4}-8$

Adding $\frac{21d}{4}$ on both sides:

$\frac{-32d}{3}+\frac{21d}{4}=\frac{21}{2}-8$

Simplifying:

$\frac{-32d*4+21d*3}{12}=\frac{21-8*2}{2}$

$\frac{-128d+63d}{12}=\frac{21-16}{2}$

$\frac{-65d}{12}=\frac{5}{2}$

Multiply both sides by $\frac{-12}{65}$

$d=\frac{5}{2}*\frac{-12}{65}$

$d=\frac{-6}{13}$

or,

$d=-0.461$

So, Solving the equation $-2\frac{2}{3}(4d-3)=1\frac{3}{4}(6-3d)$ we get value of d: $d=\frac{-6}{13}$ or $d=-0.461$

Keywords: Solving Equations

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