Question

Find and correct the errors in the following mathematical statements: $5y+2y+y-7y=0$

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, $5y+2y+y-7y=0$

On solving L.H.S, we get,

$$\begin{gathered} =5y+2y+y-7y \\ =(5y+2y+y)-7y \\ =8y-7y \\ =y \end{gathered}$$

But, it is given that R.H.S $=0$

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

So, for correct statement we need to replace $0\text{with}y\text{in RHS}$.

Hence, the correct statement is $\mathbf{5}\mathit{y}\mathbf{+}\mathbf{2}\mathit{y}\mathbf{+}\mathit{y}\mathbf{-}\mathbf{7}\mathit{y}\mathbf{}\mathbf{=}\mathbf{}\mathit{y}$.