Is the equation true, false, or open?
4y+8=6y+3
a. True; the expressions are the same for all values of the variables.
b. False; the expressions are never the same.
c. Open; there is a variable.
well, is it true for y=0?
Is it true for y=2.5?
So, ...
open?
are these right?
To determine whether the equation is true, false, or open, we need to solve it and see if a solution exists.
First, let's simplify the equation by combining like terms.
4y + 8 = 6y + 3
We can rearrange the equation by subtracting 6y from both sides:
4y - 6y + 8 = 3
Simplifying further, we get:
-2y + 8 = 3
Next, let's isolate the variable term by subtracting 8 from both sides:
-2y + 8 - 8 = 3 - 8
This simplifies to:
-2y = -5
Finally, to solve for y, we divide both sides by -2:
y = (-5)/(-2)
y = 5/2
So, the solution for y is 5/2.
Since we found a specific value for y that satisfies the equation, the equation is not open. Therefore, the correct answer is:
a. True; the expressions are the same for all values of the variables.
1.d
2.b
3.d
4.d
5.d
6.d
7.c
8.c
9.b
10.c
11.c
12.c
13.c
14.c
15.d
16.d
17.d
18.a
19.a