Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 07, 2023

Determine if $v=10$ is a solution to the equation $0.2v=1.2$ .

STEP 1

Assumptions
1. The given equation is $0.2v = 1.2$ .
2. The proposed solution for the variable $v$ is $v = 10$ .
3. We need to verify if substituting $v = 10$ into the equation makes the equation true.

STEP 2

Substitute the proposed solution $v = 10$ into the left-hand side of the equation to evaluate it.
$0.2v = 0.2 \times 10$

STEP 3

Calculate the product of $0.2$ and $10$ .
$0.2 \times 10 = 2$

STEP 4

Compare the result from STEP_3 with the right-hand side of the equation.
The left-hand side of the equation when $v = 10$ is $2$ , and the right-hand side of the equation is $1.2$ .

STEP 5

Determine if the left-hand side equals the right-hand side.
Since $2 \neq 1.2$ , the value $v = 10$ is not a solution to the equation $0.2v = 1.2$ .
The answer is "No".

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