Question

Find the solutions to the system of equations 4x - 3y = 11 and 2x - 7y = 22.

Answer 1

Given:

`\begin{gathered} 4x-3y=11 \\ 2x-7y=22 \end{gathered}`

Required:

To find the solutions of the system of equation.

Step-by-step explanation:

Consider

`\begin{gathered} 4x-3y=11------(1) \\ 2x-7y=22------(2) \end{gathered}`

Now multiply equation (2) by 2, we get

`4x-14y=44-----(3)`

(3)-(1), we get

`\begin{gathered} -11y=33 \\ \\ y=(33)/(-11) \\ \\ y=-3 \end{gathered}`

Now plug y = -3 in equation (1), we get

`\begin{gathered} 4x-3(-3)=11 \\ 4x+9=11 \\ 4x=11-9 \\ 4x=2 \\ x=(2)/(4) \\ x=0.5 \end{gathered}`

Final Answer:

The forst option is correct.

`(0.5,-3)`