Q:

the point (2,1) is a solution to which of the following systems of equations

Accepted Solution

A:
Answer:x+y = 33x-y = 5Step-by-step explanation:x+y = 33x-y = 5This system of equation will give the points(2,1).Lets substitute the values x=2 and y = 1 in the equations:x+y=3    equation 12+1 =33=33x-y=5  equation 23(2)-1=56-1=55=5Lets solve the system:Add the equations to eliminate y from the system:x+y = 33x-y = 5_______4x    = 8Now divide both the sides by 44x/4 = 8/4x=2Now substitute the value of x in equation 1:x+y=32+y=3Combine the constants:y=3-2y=1....