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Step-by-step Solution

Solve the equation (3t-7)/8=(8-9t)/7

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Answer

$t=\frac{13}{\sqrt{3}}$

Step-by-step explanation

Problem to solve:

$\frac{3t-7}{8}=\frac{8-9t}{7}$
1

Apply fraction cross-multiplication

$7\left(3t-7\right)=8\left(8-9t\right)$
2

Solve the product $8\left(8-9t\right)$

$21t-49=64-72t$

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Answer

$t=\frac{13}{\sqrt{3}}$
$\frac{3t-7}{8}=\frac{8-9t}{7}$

Main topic:

Polynomials

Used formulas:

3. See formulas

Time to solve it:

~ 1.08 seconds

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