Question

which ordered pair is a solution to the system of linear equations?
2x + 3y = 6
-3x + 5y = 10
(0,2)
(2,0)
(3,2)
(2,3)

Explanation:

Step1: Test (0,2) in equations

First equation: $2(0) + 3(2) = 0 + 6 = 6$ (matches)
Second equation: $-3(0) + 5(2) = 0 + 10 = 10$ (matches)

Step2: Verify other pairs (optional)

Test (2,0): $2(2)+3(0)=4≠6$ (fails first equation)
Test (3,2): $2(3)+3(2)=12≠6$ (fails first equation)
Test (2,3): $2(2)+3(3)=13≠6$ (fails first equation)

Answer:

(0,2)