Answer:
(1,3) & (2,6) are solutions to 1/3y=x. No solution is listed for 2x=y.
Step-by-step explanation:
To find find if an ordered pair is a solution, we can graph the line and look for the point on the line or evaluate the equation with the solution as the variable values.
We will substitute (x,y) for a given solution and find if the equation holds true.
For 2x=y
(0,2) (1,3) (2,6) (3,8)
2(0)=2 2(1)=3 2(2)=6 2(3)=8
0=2 FALSE 2=3 FALSE 4=6 FALSE 6=8 FALSE
For 1/3y=x.
(0,2) (1,3) (2,6) (3,8)
1/3(2)=0 1/3(3)=1 1/3(6)=2 1/3(8)=3
2/3=0 FALSE 1=1 TRUE 2=2 TRUE 8/3=3 FALSE
