Question

Evaluate each system below with the point (-1, -2/3). Select the system or systems which have the point (-1, -2/3) as a solution:

a. -3x + 3y = 1 and y = -1
b. -2x + 6y = -2 and y = -2/3
c. x + y = -5/3 and x - y = -1/3
d. 3y = -2x and 2y = -3x
e. -x + 3y = -2 and x = -1

Answer 1

you need to plug the value of x or y from the point (-1,-2/3) into each equation.
in choice c. , if you plug the value of x from the point, which is -1, the equation will be :
(-1) + y = -5/3 -> y= -5/3 + 1 -> y= -2/3.
and
(-1) - y = -1/3 -> y = -1+ 1/3 -> y = -2/3
that means both equations from choice c have the point (-1, -2/3)
therefore choice c is the right answer

Answer 2

choice a, b and e can't be right because
in choice a ,the equation y= -1 doesnt have any value of x
in choice b, the equation y = -2/3 also doesnt have any value of x
in choice e, the equation x =-1 doesnt have any value of y