55,838 views
18 votes
18 votes
The point (5,-2) is a solution to this system 5x-y=27 -3x+4y=-23. true or false?

User Nick Hill
by
2.5k points

1 Answer

14 votes
14 votes

Answer:

True

Explanation:

To determine if (5, - 2 ) is a solution to the system , substitute the values of x and y into the left side of both equations and if equal to the right side then it is a solution.

5(5) - (- 2) = 25 + 2 = 27 = right side

- 3(5) + 4(- 2) = - 15 - 8 = - 23 = right side

the point (5, - 2 ) makes both equations true then is a solution to the system.

User Doron Brikman
by
2.7k points