Do My Math For Me

Introduction:

Mathematics is the study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. In this article we shall discuss about math problem with detailed solution.


Example problems:


Example 1: Isolate the variable x:

8x + 2y = 12.

Solution:

To isolate x in the given equation the following steps must be followed:

Step 1: Subtract the equation on both sides by 2y

8x + 2y - 2y = 12 - 2y

Step 2: Simplify the above equation it give the equation as:

8x = 12 - 2y

Step 3: Divide the equation both side by the value 8

8x / 8 = (12 - 2y) / 8

Now we get the isolated x value
x = (12 - 2y) / 8

Example 2: A car travels at the rate of 70 miles per hour for 3 hours and for next 3 hours at 80 miles per hour. Calculate the average speed of the whole journey?

Solution:

Step 1: To find the distance travel by the car use the formula

Distance of travel = Rate × Time
Total distance of travel = 70 × 3 + 80 × 3 = 210 + 240 = 450

Step 2:

Total hours of travel = 3+3= 6

Step 3: Using the formula for average speed find the average speed

Average speed of the car = Total distance travelled / Total time taken

=450/6

The average speed of the car journey was 75 miles per hour.


Practice problems:


Problem 1: Isolate the variable x in the equation

6x + 3y = 18.

Answer: x = (18 - 3y) / 6

Problem 2: A car travels at the rate of speed 60 miles per hour for 2 hours and for 3 hours at 70 miles per hour. Calculate the average speed of the whole journey?

Answer: The average speed of the journey was 66 miles per hour.