Solve 3+4/7k=4/3

$$3 + \frac { 4 } { 7 } k = \frac { 4 } { 3 }$$

Solve for k

$$k = -\frac{35}{12} = -2\frac{11}{12} \approx -2.916666667$$

Steps for Solving Linear Equation

Subtract 3 from both sides.

$$\frac{4}{7}k=\frac{4}{3}-3$$

Convert 3 to fraction \frac{9}{3}.

$$\frac{4}{7}k=\frac{4}{3}-\frac{9}{3}$$

Since \frac{4}{3} and \frac{9}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4}{7}k=\frac{4-9}{3}$$

Subtract 9 from 4 to get -5.

$$\frac{4}{7}k=-\frac{5}{3}$$

Multiply both sides by \frac{7}{4}, the reciprocal of \frac{4}{7}.

$$k=-\frac{5}{3}\times \frac{7}{4}$$

Multiply -\frac{5}{3} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$k=\frac{-5\times 7}{3\times 4}$$

Do the multiplications in the fraction \frac{-5\times 7}{3\times 4}.

$$k=\frac{-35}{12}$$

Fraction \frac{-35}{12} can be rewritten as -\frac{35}{12} by extracting the negative sign.

$$k=-\frac{35}{12}$$