$3 x + 15 = 10$ is a simple equation. If $5$ is added to the left-hand side of the equation, the equation remains the same as the given equation.

True

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False

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Solution

The correct option is B
False

If $5$ is added to the left-hand side of the equation $3 x + 15 = 10$ , we get $3 x + 15 + 5 = 10$ .

The value on the left-hand side is increased but it remains same on the right-hand side. So, equality doesn't hold good now. $3 x + 15 + 5 \neq 10$ .
Equality sign remains unchanged only when same quantity is added on both sides, i.e., $3 x + 15 + 5 = 10 + 5$ .
Thus, the equation does not remain same as the given equation.

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Question 3

Which of the following is not allowed in a given equation?

(a) Adding the same number to both sides of the equation.

(b) Subtracting the same number from both sides of the equation.

(d) Dividing both sides of the equation by the same number.

3x+15 = 10 is a simple equation. If 5 is added to the left-hand side of the equation, the equation remains the same as the given equation.

3 x + 15 = 10

is a simple equation. If

5

is added to the left-hand side of the equation, the equation remains the same as the given equation.

What is the linear equation obtained by adding 7 to both sides of the equation 3x - 7 = 5x + 2 and then transposing 5x to left hand side of the equation?

Q. What is the RHS of the given simple equation?
3x + 2 = 10

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3x+15=10 is a simple equation. If 5 is added to the left-hand side of the equation, the equation remains the same as the given equation.

$3 x + 15 = 10$ is a simple equation. If $5$ is added to the left-hand side of the equation, the equation remains the same as the given equation.