Question

Find and correct the errors in the following mathematical statements: $2x+3y=5xy$

Answer 1

Find and correct errors in the given statement.

An equation is a mathematical expression of equality between two algebraic expressions that have equal values.

Given, $2x+3y=5xy$

Here, L.H.S $=2x+3y$.

Simplifying it further is not possible as the expression is in its simplest form and values of $x$ and $y$ are not known.

But, it is given that R.H.S $=5xy$

Thus, L.H .S.$\ne$ R.H.S.

So,for correct statement we need to replace either $\text{5xy}$ in RHS with $2x+3y$

Hence, the correct statement is $\mathbf{2}\mathit{x}\mathbf{}\mathbf{+}\mathbf{}\mathbf{3}\mathit{y}\mathbf{}\mathbf{=}\mathbf{}\mathbf{2}\mathit{x}\mathbf{}\mathbf{+}\mathbf{}\mathbf{3}\mathit{y}$.