# Topic

Equations 1.

Multiplication-, division –like operations on equations.

If the unknown term on one side of the equation has a coefficient, but the other side is zero, then we divide the equation with the coefficient. Hence, we can simplify the equation with the coefficient.

If the unknown term on one side of the equation has a coefficient we divide the equation with the coefficient. Thus, the coefficient is moved to the other side of the equation.

If there are some common factors in the terms on both sides of the equation, we divide the equation with the common factors. Hence, we simplify the equation with the two factors.

If there is a fraction on one side of the equation and on the other side there is zero, we multiply the equation with the denominator of the fraction. Hence, the equation is simplified with the denominator.

If there is a fraction on one side of the equation; we multiply the equation with the denominator of the fraction. Hence, the denominator is moved to the other side as a factor.

If the fractions on both sides of the equation have the same denominator, we multiply the equation with the common denominator. Hence, the equation is simplified with the two denominators.

If there is a fraction on both sides of the equation and the greatest common divisor of their denominators is 1, we do not find the common denominator of the fraction but multiply the equations with both of the denominators. Hence, both of the denominators moved to the other side as factors.