Answer:
4) (7, - 2)
Step-by-step explanation:
A point that lies on the graph of 3y + 2x = 8 is a solution of this equation. Substitute each ordered pair into the equation to find the correct answer.
1: (-2, 7)
[tex]3y + 2x = 8[/tex]
[tex]3(21) + 2( - 2) = 8[/tex]
[tex]63 - 4 = 8[/tex]
[tex]59 = 8[/tex]
59 is not equal to 8 so this answer is incorrect.
2: (0, 4)
[tex]3y + 2x =8[/tex]
[tex]3(4) + 2(0) = 8[/tex]
[tex]12 + 0 = 8[/tex]
[tex]12 = 8[/tex]
12 is not equal to 8 so this answer is incorrect.
3: (2, 4)
[tex]3y + 2x = 8[/tex]
[tex]3(4) + 2(2) = 8[/tex]
[tex]12 + 4 = 8[/tex]
[tex]16 = 8[/tex]
16 is not equal to 8 so this answer is incorrect.
4: (7, - 2)
[tex]3y + 2x = 8[/tex]
[tex]3( - 2) + 2(7) = 8[/tex]
[tex] - 6 + 14 = 8[/tex]
[tex]8 = 8[/tex]
This ordered pair satisfies the equation so this is the correct answer.
