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

Answer:

A. (0,2)

Explanation:

Step1: Substitute (0,2) into first - equation

Substitute (x = 0) and (y=2) into (2x + 3y): [2(0)+3(2)=0 + 6=6]

Step2: Substitute (0,2) into second - equation

Substitute (x = 0) and (y = 2) into (-3x+5y): [-3(0)+5(2)=0 + 10=10] Since the ordered pair ((0,2)) satisfies both equations in the system, it is the solution.

Step3: Check other options (for completeness)

For (2,0)

Substitute into (2x + 3y): (2(2)+3(0)=4\neq6), so it's not a solution.

For (3,2)

Substitute into (2x + 3y): (2(3)+3(2)=6 + 6=12\neq6), so it's not a solution.

For (2,3)

Substitute into (2x + 3y): (2(2)+3(3)=4 + 9=13\neq6), so it's not a solution.