Question

Find the values of x and y, if two ordered pairs(x-3,-6) and (4,x+y) are equal.

Answer 1

$$\begin{gathered} \mathrm{A}.\mathrm{T}.\mathrm{Q} \\ \left(\mathrm{x}-3,-6\right)=\left(4,\mathrm{x}+\mathrm{y}\right) \\ \mathrm{Since}\mathrm{the}\mathrm{ordered}\mathrm{pairs}\mathrm{are}\mathrm{equal} \\ \Rightarrow \mathrm{x}-3=4\mathrm{and}-6=\mathrm{x}+\mathrm{y} \\ \Rightarrow \mathrm{x}=4+3\mathrm{and}-6=7+\mathrm{y} \\ \Rightarrow \boxed{\mathbf{x}\mathbf{=}\mathbf{7}}\mathrm{and}\boxed{\mathbf{}\mathbf{y}\mathbf{=}\mathbf{-}\mathbf{13}} \end{gathered}$$