subject: About Solving For Variable Drawings [print this page]

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We know that algebra is very important in math. Its contains all the concepts in math. Algebra takes out the four basic operations such as addition, subtraction, multiplication and division. Algebra makes utilize of variables, constant, coefficients, exponents, terms and expressions. In math, variables are very significant. And it does not modify the meaning of expressions. We are frequently used variables to represent the algebra expression. Here is the example, 2x2+4x+2. Here we are going to learn about some example problems of solving for variable drawings.

Example of variable drawings

Example Problems of Solving for Variable Drawings :

Example 1:

Given: 'k/4' = '75 /100' .

Solution:

Step 1: We need to find k value.

Step 2: Here we are using cross multiplication system to solve k

Step 3: So, when we cross multiply we get 100 k= 300

Step 4: Now we divide using 100 on both the sides

Step 5: The value of k= 3.

Example 2:

2z+57+z

Solution:

Step 1: Add -5 on both the sides .so, 2z+5-57-5+z.

Step 2: now we have 2z2+z

Step 3: Here we need to divide using z on both the sides.

Step 4: So, the answer is z2.

Example 3:

5x-55 0.

Solution:

Step 1: Here also we need to solve x.

Step 2: So, 5x 55.

Step 3: Now we need to divide using 5 on both the sides.

Step 4: When we divide we get x11.

These are the example problems of solving for variable drawings.

Some more Example of Solving for Variable Drawings:

Example 4:

x - 35 = 60.

Solution:

Step 1: x - 35 = 60.

Step 2: x - 35 + 35 = 60+ 35. (Add 35 on both the sides).

Step 3: x = 95(so, calculate value of x is 163).

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Example 5:

n2 +6n-7 =0

Solution:

Step 1: The given equation is n2+6n-7

Step 2: Move constant term as opposite side so we get, n2 +6n = 7.

Step 3: Here we need to take half of the n term and we need to square it (that is '(6n)/2' = 3n).

Step 4: Now we need to add this square to both the sides, so we get n2+6n+9=7+9.

Step 5: It can be written as (n+3) 2 =16.

Step 6: Here we need to take square-root on both the sides, so n+3 = 4.

Step 7: So calculate value of x.

Step 8: Therefore it can be written as n= -3 4.

X= 3-4 and -3+-4.

X= -7 and +1.

Example 6:

t2+15t+t=135. If t= 3 then solving for x.

Solution:

Step 1: Substitute m value in the given equation.

Step 2: So we get 32+15(3)+3=135.

Step 3: Here we need to make simpler this equation.

Step 4: 9+45+3=135.

Step 5: After addition we get 55 not equal to 195.

Example 7:

Solve: 30 is what percentage of 60?

Solution:

Step 1: Let us take the unknown number is y.

Step 2: So, It can be written as 'y/100' 'xx' 60 = 30 .

Step 3: After simplification we get, '(6y)/10' = 30 .

Step 4: Multiply with 10 on both the sides.

Step 5: Therefore, Now we have 6y =300.

Step 6: Now, divide using 6 on both the sides.

Step 7: Therefore, the answer is, 50 percentages.

These are some more examples of solving for variable drawings.

by: mathqa

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