What is the best approximation of the solution to the system to the nearest integer values? (7, 1) (7, 0) (1, 7) (0, 6)Graph of a system of linear equations. Equation 1 is x minus y equals negative 6. Equation 2 is 5x plus 3y equals 24.

Answer:OPTION C: (1,7)Step-by-step explanation:The two equations are:[tex]$ x - y = -6  \hspace{25mm} ....(1) $[/tex][tex]$ 5x + 3y = 24 \hspace{25mm} ...(2) $[/tex]To solve these two equations, multiply (1)  by 5 and subtract (1) and (2).Therefore, we get the value of y.[tex]$ y = \frac{54}{8} $[/tex]This is approximately equal to 7.Substituting y = 7 in (1), we get x - 7 = -6⇒ x = -6 + 7 ∴ x = 1So, we say the approximate solution to the equations is: (1,7).In other words, the two lines meet approximately at (1,7).