Solve 3a/y-s+k/m=x

$$\frac { 3 a } { y } - s + \frac { k } { m } = x$$

Solve for a

$$a=-\frac{y\left(k-ms-mx\right)}{3m}$$

$$y\neq 0\text{ and }m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by my, the least common multiple of y,m.

$$m\times 3a-smy+yk=xmy$$

Add smy to both sides.

$$m\times 3a+yk=xmy+smy$$

Subtract yk from both sides.

$$m\times 3a=xmy+smy-yk$$

The equation is in standard form.

$$3ma=mxy+msy-ky$$

Divide both sides by 3m.

$$\frac{3ma}{3m}=\frac{y\left(mx+ms-k\right)}{3m}$$

Dividing by 3m undoes the multiplication by 3m.

$$a=\frac{y\left(mx+ms-k\right)}{3m}$$

Solve for k

$$k=\frac{m\left(xy+sy-3a\right)}{y}$$

$$y\neq 0\text{ and }m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by my, the least common multiple of y,m.

$$m\times 3a-smy+yk=xmy$$

Subtract m\times 3a from both sides.

$$-smy+yk=xmy-m\times 3a$$

Add smy to both sides.

$$yk=xmy-m\times 3a+smy$$

Multiply -1 and 3 to get -3.

$$yk=xmy-3ma+smy$$

The equation is in standard form.

$$yk=mxy+msy-3am$$

Divide both sides by y.

$$\frac{yk}{y}=\frac{m\left(xy+sy-3a\right)}{y}$$

Dividing by y undoes the multiplication by y.

$$k=\frac{m\left(xy+sy-3a\right)}{y}$$