Solving the equation [tex]-2\frac{2}{3}(4d-3)=1\frac{3}{4}(6-3d)[/tex] we get value of d: [tex]d=\frac{-6}{13}[/tex] or [tex]d=-0.461[/tex]
Step-by-step explanation:
We need to solve the equation [tex]-2\frac{2}{3}(4d-3)=1\frac{3}{4}(6-3d)[/tex] and find value of d.
Solving:
[tex]-2\frac{2}{3}(4d-3)=1\frac{3}{4}(6-3d)[/tex]
Converting mixed fraction into improper fraction
[tex]\frac{-8}{3}(4d-3)=\frac{7}{4}(6-3d)[/tex]
Multiplying:
[tex]\frac{-32d}{3}+8=\frac{21}{2}-\frac{21d}{4}[/tex]
Adding -8 on both sides:
[tex]\frac{-32d}{3}+8-8=\frac{21}{2}-\frac{21d}{4}-8[/tex]
[tex]\frac{-32d}{3}=\frac{21}{2}-\frac{21d}{4}-8[/tex]
Adding [tex]\frac{21d}{4}[/tex] on both sides:
[tex]\frac{-32d}{3}+\frac{21d}{4}=\frac{21}{2}-8[/tex]
Simplifying:
[tex]\frac{-32d*4+21d*3}{12}=\frac{21-8*2}{2}[/tex]
[tex]\frac{-128d+63d}{12}=\frac{21-16}{2}[/tex]
[tex]\frac{-65d}{12}=\frac{5}{2}[/tex]
Multiply both sides by [tex]\frac{-12}{65}[/tex]
[tex]d=\frac{5}{2}*\frac{-12}{65}[/tex]
[tex]d=\frac{-6}{13}[/tex]
or,
[tex]d=-0.461[/tex]
So, Solving the equation [tex]-2\frac{2}{3}(4d-3)=1\frac{3}{4}(6-3d)[/tex] we get value of d: [tex]d=\frac{-6}{13}[/tex] or [tex]d=-0.461[/tex]
Keywords: Solving Equations
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