For which equations is 8 the solution? Select the four that apply.(4 points)

Responses

x+6=2
x plus 6 is equal to 2

x2=16
x over 2 is equal to 16

3x=24
3 x is equal to 24

x8=1
x over 8 is equal to 1

x−4=4
x minus 4 is equal to 4

x+2=10
x plus 2 is equal to 10

x−2=10
x minus 2 is equal to 10

2x=4

1 answer

To determine which equations have 8 as a solution, we can substitute 8 into each equation and see if it makes the equation true.

x + 6 = 2
- \(8 + 6 = 14\) (not equal to 2)
x² = 16
- \(8² = 64\) (not equal to 16)
3x = 24
- \(3(8) = 24\) (true)
x / 8 = 1
- \(8 / 8 = 1\) (true)
x - 4 = 4
- \(8 - 4 = 4\) (true)
x + 2 = 10
- \(8 + 2 = 10\) (true)
x - 2 = 10
- \(8 - 2 = 6\) (not equal to 10)
2x = 4
- \(2(8) = 16\) (not equal to 4)

The four equations for which 8 is a solution are:

3x = 24
x / 8 = 1
x - 4 = 4
x + 2 = 10