Is the equation True, False, or Open? 4x + 5 = 2x + 13
True
False
1 year ago
1 year ago
To determine if the equation 4x + 5 = 2x + 13 is true, false, or open, we need to solve it for x.
First, let's subtract 2x from both sides of the equation to eliminate the x term on the right side:
4x + 5 - 2x = 2x + 13 - 2x
Simplifying this gives:
2x + 5 = 13
Next, let's subtract 5 from both sides of the equation:
2x + 5 - 5 = 13 - 5
Simplifying this gives:
2x = 8
Finally, we divide both sides by 2 to solve for x:
(2x)/2 = 8/2
Simplifying this gives:
x = 4
Therefore, the equation 4x + 5 = 2x + 13 is true when x = 4.
1 year ago
To determine if the equation 4x + 5 = 2x + 13 is true, false, or open, we need to solve the equation and see if it satisfies the given conditions.
First, let's simplify the equation by moving all the terms with x to one side and the constant terms to the other side:
4x - 2x = 13 - 5
This simplifies to:
2x = 8
Next, divide both sides of the equation by 2 to isolate x:
2x/2 = 8/2
x = 4
Now, substitute the value of x (4) back into the original equation and check if it satisfies the equation:
4(4) + 5 = 2(4) + 13
16 + 5 = 8 + 13
21 = 21
Since the equation is satisfied when x = 4, we conclude that the equation 4x + 5 = 2x + 13 is true.