203k views
2 votes
Need help with an explanation on how you got your answers!

Need help with an explanation on how you got your answers!-example-1

1 Answer

3 votes

Options B and D makes the equation true

Step-by-step explanation:

The equation: 2x + 4y = 24

Using substitution, we will pick each of the points and replace them in the equation to determine which two options are true.

They would be true if the right hand side is equal to the left hand side

a) (x, y) = (2, -5)

2(2) + 4(-5) = 24

4 - 20 = 24

-16 = 24

left hand side is not equal to the right hand side

b) (x, y) = (0, 6)

2(0) + 4(6) = 24

0 + 24 = 24

24 = 24

left hand side is equal to the right hand side (true)

c) (x, y) = (0, 12)

2(0) + 4(12) = 24

0 +48 = 24

48 = 24

left hand side is not equal to the right hand side

d) (x, y) = (6, 3)

2(6) + 4(3) = 24

12 + 12 = 24

24 = 24

left hand side is equal to the right hand side (true)

Options B and D makes the equation true

User Emjay
by
6.1k points