Question

Is the point (5, 2) a solution to the system? Solve algebraically, not graphically. Show all work.​

Answer 1

(5,2) is a solution

Explanation:

To test if an ordered pair is a solution to a system of equations you must substitute the variables into each equation. If all of the equations are true, then the ordered pair is a solution

Equation 1:

y < x - 1

plug in 5 for x and 2 for y

(2) < (5) - 1

2 < 4 True!

Equation 2:

y > -x + 2

plug in 5 for x and 2 for y

2 > -(5) + 2

2 > -5 + 2

2 > -3 True!