Question

5x + 2y = 19 -x + 2y = 1

Answer 1

The given expressions are,

`\begin{gathered} 5x+2y=19\ldots\text{.}\mathrm{}(1) \\ -x+2y=1\ldots\text{.}\mathrm{}(2) \end{gathered}`

From the second equation, we have,

`x=2y-1\ldots\text{.}\mathrm{}(3)`

Substituting this value in the first equation, we have,

`\begin{gathered} 5(2y-1)+2y=19 \\ 10y-5+2y=19 \\ 12y=19+5 \\ 12y=24 \\ y=(24)/(12)=2 \end{gathered}`

Now, substituting this value of y in equation 3, we have,

`x=2*2-1=4-1=3`

Thus, the solution is x = 3 and y = 2