Check a Solution Online

Introduction to check a solution online:

In mathematics, check means the process of confirming a solution is correct or not for the given equation or inequality. Check is nothing but substitute the solution in the given question. Now, we are going to see some of the problems to check the solution online. From these problems, we can get clear view about whether the solution is correct or not for the given question. Is this topic online geometry tutor free hard for you? Watch out for my coming posts.


Problem on check a solution online:


Example problem 1:

Solve for x in the given equation and check the solution online: 5 x - 6 = 3 x - 10

Solution:

Subtract 3x on both sides of the equation

5 x - 6 = 3 x – 10

Add 6 to both sides of the equation

5 x - 6 + 6 = 3 x – 10 + 6

5x = 3x – 4

Subtract 3x on both sides of the equation

5x – 3x = 3x – 4 -3x

2x = -4

Divide by 2 on both sides of the equation

2x / 2 = -4 / 2

x = -2

The answer is x = - 2

Check:

Substitute the value x = -2 in the given equation

5 x - 6 = 3 x – 10

5 (-2) - 6 = 3(-2) – 10

-10 – 6 = -6 – 10

-16 = -16

Both the sides are equal. So, the answer is correct. I have recently faced lot of problem while learning Large Sample Size, But thank to online resources of math which helped me to learn myself easily on net.


Additional Problem on check a solution online:


Example problem 2:

Solve the simultaneous equations and check the answer:

x + y = -1-----------Equation (1)
2x + y = 0-----------Equation (2)

Solution:

Step 1: From equation (1)

x + y = -1

Subtract x on both sides of the equation

x + y – x = -1 – x

y = -x – 1----------Equation (3)

Step 2: Substitute the equation (3) in equation (2)

2x + y = 0

2x + (-x – 1) = 0

2x –x – 1 = 0

x – 1 =0

Add 1 on both sides of the equation

x – 1 + 1 = 0 + 1

x = 1

Step 3: Substitute x=1 in equation (3)

y = -x – 1

y = - 1 – 1

y = -2

So, the solution is (1, -2)

Verify:

Substitute the x and y values in any one of given equation

Let us take equation (1)

x + y = -1

1 + (-2) = - 1

-1 = -1

Both the sides are equal. So, the answer is correct.