Question

is the order pair (10, -15) a solution to the following system? yes or no? provide evidence to support your answer

Answer 1

To find if the ordered pair is a solution, we substitute (10, -15) into both equations and see if both are true

y = -x -5

-15 = -10 -5

-15 -15

Then we have to check the second equation

4x -8y =4

4(10) -8(-15) = 4

40 +120 = 4

160 does not equal 4 so this is not true

It is a solution to the first equation but not the second so it is not a solution to the system of equations.