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2022-04-04

Solve for d and f: $\{\begin{array}{l}5d+6f=2\\ 5d+3f=3\end{array}$

Gia Schaefer

Beginner2022-04-05Added 16 answers

Write the problem as a mathematical expression.

$5d+6f=2$

$5d+3f=3$

Solve for $d$ in $5d+6f=2$.

$d=\frac{2}{5}-\frac{6f}{5}$

$5d+3f=3$

Replace all occurrences of $d$ with $\frac{2}{5}-\frac{6f}{5}$ in each equation.

$2-3f=3$

$d=\frac{2}{5}-\frac{6f}{5}$

Solve for $f$ in $2-3f=3$.

$f=-\frac{1}{3}$

$d=\frac{2}{5}-\frac{6f}{5}$

Replace all occurrences of $f$ with $-\frac{1}{3}$ in each equation.

$d=\frac{4}{5}$

$f=-\frac{1}{3}$

List all of the solutions.

$d=\frac{4}{5},f=-\frac{1}{3}$

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