Balanced Equation Math

Introduction of balanced equation math:

We know that algebra is very important term in math. Algebra has a different type of equations. Normally we can do addition , subtraction, multiplication and division. An algebra equation contains variables, symbols etc. Here we are going to learn about balanced equation in math. It’s also called as verification in math. Using this method we can also verify if the solution is correct or not.

Example problems of balanced equation in math:

Example 1:

Y+9=15

Solution:

Step 1: y-9+9= 15-9 (Subtract 9 on both the sides)

Step 2: After simplification we get y = 6.

Balanced equation:

Step 1: y+9= 15

Step 2: 6+9= 15

Step 3: Therefore 15=15.

Here we get the value of y = 6.Now we need to substitute y value in the question. When we substitute we get, the same value on both the sides. Its called balanced equation in math.



Example 2:

Given:

Solve: 5z-10=130

Solution:

We need to find the z value

Step 1: 5z-10=130 (first we need to add 10 on both the sides)

Step 2: 5z=140 (Now we divide using 5 on both the sides)

Step 3: z=28.

Balanced equation:

Step 1: 5z-10=130

Step 2: 5(28)-10= 130.

Step 3: Therefore 130 = 130.

Here we get the value of z = 28.Now we need to substitute z value in the question. When we substitute we get, the same value on both the sides. Its called balanced equation in math.

Is this topic Volume of a Rectangular Prism hard for you? Watch out for my coming posts.

More about balanced equation math:


Example 3:

Solving equations using elimination method

Solve: 4p+3q =21 and -4p-6q=12

Solution:

Step 1: It question is 4p+3q =21 and -4p-6q=12

Step 2: first we need to change the sign and simplify the equations. Here also we have the opposite sign. So we need not change the sign

Step 3: When we simplify we get -3q= 33.So q= -11

Now we need to calculate the value of p.

Step 6: so, we plug in q value in any equation to find p.

Step 7: here the equation one is 4p+3q =21

Step 8: So, 4p+3(-11)=21

Step 9: 4p-33=21 (Add 33 on both the sides).

Step 10:4p-33+33=21+33. 4p=54

Step 10: So the value of p =13.5.

Balanced equation:

For, the past question we have 2 equations. We can take any one of the equation and substitute p and q value.

Step 1: Let us take the first equation, 4p+3q =21

Step 2: 4(13.5)+3(-11)= 21

Step 3:54-33=21

Step 4:21=21

Here we get the value of p = 13.5 and q= -11.Now we need to substitute y value in the question. When we substitute we get, the same value on both the sides. Its called balanced equation in math.

These are the example problems of balanced equation in math.