Question

if you multiply both sides of an equation by the same number the new equation will have the same solution

Answer 1

Yes, the new equation that we get after multiplying the same number to both sides of an equation, will have the same solution.

Explanation:

Yes, the new equation that we get after multiplying the same number to both sides of an equation, will have the same solution.

This is because we know from the property of an equation that common numbers of two sides of an equation cancel each other and the equation gets simplified.

So, if we multiply the same number to both sides of an equation then the common multiplier gets automatically canceled out and finally, the original equation remains the same.