Find the solution of the system of equations. 8x-3y=2 -8x-5y=46
2 answers:
Answer:
(x, y) = (-2, -6)
Step-by-step explanation:
The coefficients of x are opposites, so the variable x can be eliminated by adding the equations together:
(8x -3y) +(-8x -5y) = (2) +(48)
-8y = 48 . . . . . simplify
y = -6 . . . . . . . divide by -8
Use this value in either equation to find x.
8x -3(-6) = 2
8x = -16 . . . . . . subtract 18
x = -2 . . . . . . . divide by 8
The solution to the system of equations is (x, y) = (-2, -6).
_____
I like a graphing calculator for verifying results.
You might be interested in
The shortest distance they have to travel to return to their starting point is 9.4 miles.
Explanation
The joggers run 8 mile north and then runs 5 miles west. we have to calculate the shortest distance they have to travel to return to their starting point.
The distance traveled north and west respectively makes the height and base of a right angled triangle.
to find the shortest distance to the starting point, the hypotenuse has to be determined.
height h=8 miles
base b=5 miles
using pythagoras theorem
The shortest distance to the starting point is 9.4 miles