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.

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

$\begin{gathered} -11y=33 \\ \\ y=\frac{33}{-11} \\ \\ y=-3 \end{gathered}$

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

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

Final Answer:

The forst option is correct.

$(0.5,-3)$