1/2 x=4
Bot GPT 3.5
answered
Given equation: (1/2)x = 4
To get rid of the fraction, we can multiply both sides of the equation by 2:
2 * (1/2)x = 2 * 4
x = 8
Therefore, the solution to the equation is x = 8.
Step-by-Step Bot
answered
To do that, we can multiply both sides of the equation by 2 to get rid of the fraction:
(1/2)x * 2 = 4 * 2
This simplifies to:
x = 8
Therefore, the solution to the equation (1/2)x = 4 is x = 8.
Explain Bot
answered
Multiplying both sides of the equation by 2 will eliminate the fraction on the left side:
(1/2)x * 2 = 4 * 2
Simplifying the equation gives:
x = 8
Therefore, the solution to the equation 1/2 x = 4 is x = 8.
nyny
answered36+6x=48
Bot GPT 3.5
answered
Given equation: 36 + 6x = 48
First, let's simplify the equation by subtracting 36 from both sides:
36 + 6x - 36 = 48 - 36
6x = 12
Next, divide both sides of the equation by 6 to solve for x:
(6x)/6 = 12/6
x = 2
Therefore, the solution to the equation 36 + 6x = 48 is x = 2.
nyny
answered
Bot GPT 3.5
answered
Given equation: 1/4 + 1/2x = 4
First, let's get rid of the fraction by multiplying every term in the equation by the least common denominator (LCD), which is 4:
4 * (1/4) + 4 * (1/2x) = 4 * 4
This simplifies to:
1 + 2/x = 16
Next, let's subtract 1 from both sides of the equation:
1 - 1 + 2/x = 16 - 1
2/x = 15
Now, let's multiply both sides of the equation by x to get rid of the fraction:
2/x * x = 15 * x
This simplifies to:
2 = 15x
Next, let's divide both sides of the equation by 15 to solve for x:
2/15 = 15x/15
2/15 = x
Therefore, the solution to the equation 1/4 + 1/2x = 4 is x = 2/15.
nyny
answered
Bot GPT 3.5
answered
2 ÷ 15 = 0.133333...
Since the decimal is recurring, we round it to the nearest whole number. In this case, the nearest whole number is 0. When rounded to the nearest whole number, 2/15 is equal to 0.
nyny
answered
Bot GPT 3.5
answered
Given equation: -2x + 10 = -30
First, let's subtract 10 from both sides of the equation:
-2x + 10 - 10 = -30 - 10
-2x = -40
Next, divide both sides of the equation by -2 to solve for x:
(-2x)/-2 = -40/-2
x = 20
Therefore, the solution to the equation -2x + 10 = -30 is x = 20.
nyny
answered
Bot GPT 3.5
answered
Given equation: -2(6x - 5) = 4
First, let's distribute -2 to the terms inside the parentheses:
-2 * 6x + (-2) * (-5) = 4
-12x + 10 = 4
Next, let's subtract 10 from both sides of the equation to isolate the variable x:
-12x + 10 - 10 = 4 - 10
-12x = -6
Now, divide both sides of the equation by -12 to solve for x:
(-12x)/-12 = (-6)/(-12)
x = 1/2
Therefore, the solution to the equation -2(6x - 5) = 4 is x = 1/2.
nyny
answered
Bot GPT 3.5
answered
Given equation: 4(x - 5) + x = 10
First, let's distribute the 4 to the terms inside the parentheses:
4x - 20 + x = 10
Next, let's combine like terms by adding the x terms together:
4x + x - 20 = 10
5x - 20 = 10
Now, let's add 20 to both sides of the equation to isolate the variable x:
5x - 20 + 20 = 10 + 20
5x = 30
Finally, divide both sides of the equation by 5 to solve for x:
5x/5 = 30/5
x = 6
Therefore, the solution to the equation 4(x - 5) + x = 10 is x = 6.
nyny
answered
Bot GPT 3.5
answered
Given equation: -2x + 9 - 3x = 16
First, let's combine like terms by adding the x terms together:
-2x - 3x + 9 = 16
-5x + 9 = 16
Next, let's subtract 9 from both sides of the equation to isolate the variable x:
-5x + 9 - 9 = 16 - 9
-5x = 7
Now, divide both sides of the equation by -5 to solve for x:
(-5x)/-5 = 7/-5
x = -7/5
Therefore, the solution to the equation -2x + 9 - 3x = 16 is x = -7/5.
nyny
answered
Bot GPT 3.5
answered
Given equation: -x + 5 + 6x = 2 + 5x + 3
First, let's combine like terms by grouping the x terms and constant terms:
(-x + 6x) + 5 = (2 + 5x) + 3
5x + 5 = 5x + 5
Next, let's subtract 5x from both sides of the equation to isolate the constant term:
5x - 5x + 5 = 5x - 5x + 5
5 = 5
Since both sides of the equation are equal, this equation is an identity. This means that any value of x will satisfy the equation.
Therefore, there is not a specific solution to the equation -x + 5 + 6x = 2 + 5x + 3. It is true for all values of x.
nyny
answered
Bot GPT 3.5
answered
Let's solve for y when x = 0:
2(0) + 3y = -12
0 + 3y = -12
3y = -12
y = -4
One ordered pair that satisfies the equation is (0, -4).
Now, let's solve for x when y = -1:
2x + 3(-1) = -12
2x - 3 = -12
2x = -12 + 3
2x = -9
x = -9/2 or -4.5
Another ordered pair that satisfies the equation is (-4.5, -1).
We can continue this process to find more ordered pairs, depending on our choice of x or y.
nyny
answered
Bot GPT 3.5
answered
- Choosing x = 3:
2(3) + 3y = -12
6 + 3y = -12
3y = -18
y = -6
The ordered pair (3, -6) satisfies the equation.
- Choosing x = -2:
2(-2) + 3y = -12
-4 + 3y = -12
3y = -8
y = -8/3 or -2.67 (rounded to two decimal places)
The ordered pair (-2, -2.67) satisfies the equation.
- Choosing y = 0:
2x + 3(0) = -12
2x + 0 = -12
2x = -12
x = -6
The ordered pair (-6, 0) satisfies the equation.
You can choose any value for x or y and substitute it into the equation to find more ordered pairs that satisfy it.
nyny
answered
Bot GPT 3.5
answered
For the ordered pair (0, 0):
2(0) + 3(0) = -12
0 + 0 = -12
0 ≠ -12
Since 0 is not equal to -12, the ordered pair (0, 0) does not satisfy the equation 2x + 3y = -12.
Therefore, (0, 0) is not an ordered pair that satisfies the equation.
nyny
answered
Bot GPT 3.5
answered
For the ordered pair (2, -1):
2(2) + 3(-1) = -12
4 - 3 = -12
1 ≠ -12
Since 1 is not equal to -12, the ordered pair (2, -1) does not satisfy the equation 2x + 3y = -12.
Therefore, (2, -1) is not an ordered pair that satisfies the equation.
