How do you complete these ordered pairs for this equation (-2, ),(0, ),( ,4) given the formula -x+2y=6?

Question

Genesis Allen · Accepted Answer

Take the value for x or y given and put into the equation and solve for the missing part of the point.

( -2. ?) # x = -2# y is unknown. so # - (-2) + 2y = 6 # + 2 + 2y = 6 # subtract 2 from both sides # 2 -2 + 2y = 6 - 2# gives # 2y = 4# divide both sides by 2 # 2y/2 = 4/2# equals y =2 (0,?) # x = 0# y is unknown so # - 0 + 2y = 6 # so # 2y = 6# divide both side by 2 # 2y/2 = 6/2# equals y = 3 (?. 4) # y = 4# x is unknown so # -x + 2(4) = 6# this gives # -x + 8 = 6# Subtract 8 from both sides # -x + 8 -8 = 6 -8# so # -x = -2 # divide both sides by -1 # -x/-1 = -2/-1# equals # x = 2# The points are (-2,2) ( 0, 3) ( 2, 4)

Kennedy Adams · Answer

undefined To complete the ordered pairs for the equation $ -x + 2y = 6 $, you substitute the given values into the equation and solve for the missing coordinate.

1. For the ordered pair (-2, ):
   Substitute x = -2 into the equation: $ -(-2) + 2y = 6 $
   Simplify: $ 2 + 2y = 6 $
   Solve for y: $ 2y = 4 $
   $ y = 2 $
   So, the completed ordered pair is (-2, 2).

2. For the ordered pair (0, ):
   Substitute x = 0 into the equation: $ -(0) + 2y = 6 $
   Simplify: $ 2y = 6 $
   Solve for y: $ y = 3 $
   So, the completed ordered pair is (0, 3).

3. For the ordered pair ( ,4):
   Substitute y = 4 into the equation: $ -x + 2(4) = 6 $
   Simplify: $ -x + 8 = 6 $
   Solve for x: $ -x = -2 $
   $ x = 2 $
   So, the completed ordered pair is (2, 4).