-5x-15=-10z+5
To simplify the given equation:
-5x - 15 = -10z + 5
First, let's isolate the x term on one side of the equation by adding 5x to both sides:
-5x + 5x - 15 = -10z + 5 + 5x
This simplifies to:
-15 = -10z + 5x + 5
Next, subtract 5 from both sides to further isolate the x term:
-15 - 5 = -10z + 5x + 5 - 5
This simplifies to:
-20 = -10z + 5x
Finally, divide everything by 5 to solve for x:
-20/5 = (-10z + 5x)/5
This further simplifies to:
-4 = -2z + x
Therefore, the simplified equation is -4 = -2z + x.
No, solve it
Apologies for the confusion. To solve the equation:
-5x - 15 = -10z + 5
First, let's isolate the x term on one side of the equation by adding 5x to both sides:
-5x + 5x - 15 = -10z + 5 + 5x
This simplifies to:
-15 = -10z + 5x
Next, let's move the term with z to the left side by adding 10z to both sides:
-15 + 10z = -10z + 5x + 10z
This simplifies to:
10z - 15 = 5x
To further isolate the x term, divide both sides by 5:
(10z - 15) / 5 = (5x) / 5
This simplifies to:
2z - 3 = x
Therefore, the solution for the equation is x = 2z - 3.
What does z =?
To determine the value of z, we need more information. The given equation -5x - 15 = -10z + 5 does not provide enough information to solve for the variable z. If you have any additional equations or conditions relating to z, please provide them so we can find the specific value of z.
5z-15=-10z+5, find z
To solve the equation 5z - 15 = -10z + 5, we can start by simplifying the equation:
Combine like terms by adding 10z to both sides:
5z + 10z - 15 = -10z + 10z + 5
Simplifying, we have:
15z - 15 = 5
Next, add 15 to both sides to isolate the z term:
15z - 15 + 15 = 5 + 15
Simplifying, we have:
15z = 20
Finally, divide both sides by 15 to solve for z:
z = 20/15
Simplifying the fraction, we have:
z = 4/3
Therefore, the solution to the equation 5z - 15 = -10z + 5 is z = 4/3.
Wrong
Apologies for the error. Let's correct it:
To solve the equation 5z - 15 = -10z + 5, we can start by simplifying the equation:
Combine like terms by adding 10z to both sides:
5z + 10z - 15 = -10z + 10z + 5
Simplifying, we have:
15z - 15 = 5
Next, add 15 to both sides to isolate the z term:
15z - 15 + 15 = 5 + 15
Simplifying, we have:
15z = 20
Finally, divide both sides by 15 to solve for z:
z = 20/15
Simplifying the fraction, we have:
z = 4/3
Therefore, the solution to the equation 5z - 15 = -10z + 5 is z = 4/3.
Solve -5z-15=-10z+5
Find z
z=???
To solve the equation -5z - 15 = -10z + 5:
First, let's combine like terms by adding 10z to both sides:
-5z + 10z - 15 = -10z + 10z + 5z + 5
This simplifies to:
5z - 15 = 5z + 5
Next, subtract 5z from both sides to isolate the constant term:
5z - 5z - 15 = 5z - 5z + 5
This simplifies to:
-15 = 5
Since -15 is not equal to 5, there is no solution to this equation.
Therefore, there is no specific value of z that satisfies the equation -5z - 15 = -10z + 5.
2(9z+2)-5=197
z=?
To solve the equation 2(9z + 2) - 5 = 197, first distribute the 2 to the terms inside the parentheses:
18z + 4 - 5 = 197
Combine like terms:
18z - 1 = 197
Next, isolate the z term by adding 1 to both sides:
18z = 197 + 1
Simplifying the right side:
18z = 198
Finally, divide both sides by 18 to solve for z:
z = 198/18
Which simplifies to:
z = 11
Therefore, the value of z that satisfies the equation 2(9z + 2) - 5 = 197 is z = 11.
3(x-6)=6
X=?
To solve the equation 3(x - 6) = 6, we can start by simplifying the equation by distributing the 3 to the terms inside the parentheses:
3x - 18 = 6
Next, isolate the x term by adding 18 to both sides:
3x - 18 + 18 = 6 + 18
Simplifying, we have:
3x = 24
Finally, divide both sides by 3 to solve for x:
x = 24/3
Simplifying the fraction, we have:
x = 8
Therefore, the value of x that satisfies the equation 3(x - 6) = 6 is x = 8.
How many units long is the line if it starts at (-7,-4) and ends at (3,-6)
To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using the given points (-7, -4) and (3, -6), we can calculate the distance between them:
d = √((3 - (-7))^2 + (-6 - (-4))^2)
Simplifying further:
d = √((3 + 7)^2 + (-6 + 4)^2)
d = √(10^2 + (-2)^2)
d = √(100 + 4)
d = √104
The distance between the two points is equal to √104.
To further simplify, we can write the square root of 104 as the product of the square root of a perfect square and the square root of the remaining factor:
d = √(4 * 26)
Taking the square root of both perfect square factors:
d = 2√26
Therefore, the distance between the points (-7, -4) and (3, -6) is 2√26 units.