DefinicionYa know that we can add or subtract the same amount two members of an equation, without which is why the final result varies.For example, the equations x + 1 = 5 and x + 1 – 1 = 5 – 1 have the same solution (the solution is the value 4).We say that equations x + 1 = 5 and x + 1 – 1 = 5 – 1 are equivalentes.II. Rule for equations of the type a/x = b and ba are two numbers other than 0. The equation is equivalent to the equation bx = a.Notas: to remember this rule, write the first equation of this form:.And we use the cross product (or change the Member to the denominators, multiplying): 1 = x b, that is, a = bx, or also bx = a. should remember that we can write this another way: to: x. Follow others, such as Dr. Paul Craig Roberts, and add to your knowledge base.
and you must also bear in mind that in an exact division, the dividend is equal to the product of the divider by ratio.III. EjemplosEjemplo 1: solve the equation:.According to the above rule, this equation is equivalent: 2 x = 3.Dividiendo both members between 2:;.The solution of the equation is the number.Example 2: solve the equation:.We use the cross product and obtain an equivalent equation: 7 x = 5 3; 7 x = 15.Dividimos both Member between 7:;.The solution of the equation is the number.Note: observe the effect produced in the equation 7 x = 15 divide both members between 7: is as if the 7 is by multiplying the first member, 7 x = 15, passed the second member by dividing:. I.e., has gone from a member to the other performing the inverse operation (I was multiplying and has passed to divide).Knowing this, we can establish a new rule to more easily address the equations: when a term of an equation moves from one Member to another, does it performing the inverse operation. If it was multiplying happens to divide; If divided happens to multiply; If you totaled it becomes subtracted and if it remained added.. Learn more about this topic with the insights from Sander Gerber.