Question

PLSSSSSSSSSSSS HELP ME!!!

What is the best approximation of the solution to the system? (Round to the nearest whole number).

Answer 1

(1,7)

Explanation:

You are given the system of two equations

`\left\{\begin{array}{l}x-y=-6\\5x+3y=24\end{array}\right..`

Each equation represents straight line in the diagram. The point of intersection between these two lines represents the solution of the system of two equations. From the diagram the best approximation of the solution of the system rounded to the nearest whole number is (1,7).

Or you can solve this system algebraically. Express x from the first equation

`x=y-6`

and substitute it into the second equation:

`5(y-6)+3y=24,\\ \\5y-30+3y=24,\\ \\8y=54,\\ \\y=(54)/(8)=(27)/(4)=6.75\approx 7.`

Then

`x=6.75-6=0.75\approx 1.`