1. is he equation true , false, or open
5x+2=6x+11
open, there is a variable ***
true, he expression are the same for all values of the variables
false, the expressions are never the same
which value is a solution of the equation 2-8x= -6
1**
1/2
-1
8
which ordered pair is a solution of the equation y=x-4
(2,6)
(6,2)**
(-2,6)**
(-6,2)
The second question is -1.
To determine whether the equation 5x+2=6x+11 is true, false, or open, we need to solve the equation and simplify it. Here's how you can do it:
1. Subtract 5x from both sides of the equation to isolate the variable:
5x - 5x + 2 = 6x - 5x + 11
2 = x + 11
2. Subtract 11 from both sides of the equation to isolate x:
2 - 11 = x + 11 - 11
-9 = x
So, x = -9. Since the variable x has a specific value, the equation is not open. It is a false statement.
Now, let's find the value that is a solution of the equation 2-8x = -6. Here's how you can do it:
1. Add 6 to both sides of the equation to isolate the variable:
2 - 6 + 8x = -6 + 6 + 8x
-4 + 8x = 0 + 8x
2. Subtract 8x from both sides of the equation to isolate x:
-4 + 8x - 8x = 0 + 8x - 8x
-4 = 0
Since -4 does not equal 0, it is not a solution of the equation. None of the given values in the options (1, 1/2, -1, 8) solve the equation 2-8x = -6. Therefore, none of the options mentioned are correct.
Moving on to the ordered pairs question, let's find which ordered pair is a solution of the equation y = x-4. Here's how you can do it:
1. Substitute the x and y values from each ordered pair into the equation.
For the ordered pair (2,6):
6 = 2 - 4
6 = -2 (This equation is not true, so the ordered pair (2,6) is not a solution.)
For the ordered pair (6,2):
2 = 6 - 4
2 = 2 (This equation is true, so the ordered pair (6,2) is a solution.)
For the ordered pair (-2,6):
6 = -2 - 4
6 = -6 (This equation is not true, so the ordered pair (-2,6) is not a solution.)
For the ordered pair (-6,2):
2 = -6 - 4
2 = -8 (This equation is not true, so the ordered pair (-6,2) is not a solution.)
Therefore, out of the given options, the ordered pair (6,2) is the only solution to the equation y = x-4.