Solve 2/7a-3/5b=7

$$\frac { 2 } { 7 } a \frac { - 3 } { 5 } b = 7$$

Solve for a

$$a=-\frac{245}{6b}$$

$$b\neq 0$$

Steps for Solving Linear Equation

Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

$$\frac{2}{7}a\left(-\frac{3}{5}\right)b=7$$

Multiply \frac{2}{7} and -\frac{3}{5} to get -\frac{6}{35}.

$$-\frac{6}{35}ab=7$$

The equation is in standard form.

$$\left(-\frac{6b}{35}\right)a=7$$

Divide both sides by -\frac{6}{35}b.

$$\frac{\left(-\frac{6b}{35}\right)a}{-\frac{6b}{35}}=\frac{7}{-\frac{6b}{35}}$$

Dividing by -\frac{6}{35}b undoes the multiplication by -\frac{6}{35}b.

$$a=\frac{7}{-\frac{6b}{35}}$$

Divide 7 by -\frac{6}{35}b.

$$a=-\frac{245}{6b}$$

Solve for b

$$b=-\frac{245}{6a}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

$$\frac{2}{7}a\left(-\frac{3}{5}\right)b=7$$

Multiply \frac{2}{7} and -\frac{3}{5} to get -\frac{6}{35}.

$$-\frac{6}{35}ab=7$$

The equation is in standard form.

$$\left(-\frac{6a}{35}\right)b=7$$

Divide both sides by -\frac{6}{35}a.

$$\frac{\left(-\frac{6a}{35}\right)b}{-\frac{6a}{35}}=\frac{7}{-\frac{6a}{35}}$$

Dividing by -\frac{6}{35}a undoes the multiplication by -\frac{6}{35}a.

$$b=\frac{7}{-\frac{6a}{35}}$$

Divide 7 by -\frac{6}{35}a.

$$b=-\frac{245}{6a}$$