##### Asked by: Stelian Scheewe

asked in category: General Last Updated: 12th May, 2020# What happens when both sides of the equation are equal?

**equal**to each other, and you add the same value to

**both sides of the equation**, the

**equation**will remain

**equal**. When you solve an

**equation**, you find the value of the variable that makes the

**equation**true. In order to solve the

**equation**, you isolate the variable.

Similarly, it is asked, how do you solve an equation with two variables on both sides?

**Steps**

- Move the variables to different sides of the equation.
- Divide both sides of the equation to "solve for x." Once you have the x term (or whichever variable you are using) on one side of the equation, divide both sides of the equation to get the variable alone.
- Plug this back into the other equation.

Also, is 0 0 infinite or no solution? Ben Mai · Becca M. For an answer to have an **infinite solution**, the two equations when you solve will equal **0=0** . Here is a problem that has an **infinite** number of **solutions**. If you solve this your answer would be **0=0** this means the problem has an **infinite** number of **solutions**.

Similarly one may ask, why is it important to perform the same operations to both sides of an equation?

An **important** property of **equations** is one that states that you can add the **same** quantity to **both sides of an equation** and still maintain an equivalent **equation**. Since each expression is **equal** to 15, you can see that adding 5 to each **side** of the original **equation** resulted in a true **equation**.

How do you find a variable on both sides?

Solving Equations with a **Variable on Both Sides**. After simplifying, the first step in solving an equation with a **variable on both sides** is to **get** the **variable** on one **side**. This is done by reversing the addition or subtraction of one of the terms with the **variable**.