Weighted equations - Examples, Exercises and Solutions

Equivalent equations are basically equations that are equal to each other, as they share the same variable, in addition to sharing the same solution. We can easily move from one equivalent equation to another. In fact, each equation has an infinity of equivalent equations. This is due to the following: if you add, subtract, multiply, or divide both sides of an equation by a number different from zero, another equation equivalent to the initial one is obtained.

X=-6 Equivalent Equations

Suggested Topics to Practice in Advance

  1. What is the unknown of a mathematical equation?
  2. Equations
  3. Solution of an equation

Practice Weighted equations

Exercise #1

Are the equations balanced?

9x=1=?5x=40 9-x=1\stackrel{?}{=}5x=-40

Video Solution

Answer

No

Exercise #2

Are the equations balanced?

26=x6=?2x=178 26{=}\frac{x}{6}\stackrel{?}{=}\frac{2}{x}{=}\frac{1}{78}

Video Solution

Answer

Yes

Exercise #3

Are the equations balanced?

x25=5=?7x10=200 x-25=5\stackrel{?}{=}7x-10=200

Video Solution

Answer

Yes