There are not any choices to these so I need help
1. x/4 + 1 = -5
2. 6x + 29 = 5
3. Combine like terms
-21a + 16a
Ok Thanks!
Sure, I'd be happy to help you with these problems. Let's tackle them one by one:
1. To solve the equation x/4 + 1 = -5, the goal is to isolate the variable x on one side of the equation. To do this, we need to get rid of the constant term 1 first. We can do that by subtracting 1 from both sides of the equation:
x/4 + 1 - 1 = -5 - 1.
This simplifies to:
x/4 = -6.
Next, to get rid of the fraction, we can multiply all terms in the equation by 4:
4 * (x/4) = 4 * (-6).
This gives us:
x = -24.
So the solution to the equation is x = -24.
2. To solve the equation 6x + 29 = 5, the goal is again to isolate the variable x. First, we can start by getting rid of the constant term 29 by subtracting it from both sides of the equation:
6x + 29 - 29 = 5 - 29.
This simplifies to:
6x = -24.
Now, to solve for x, we can divide both sides of the equation by 6:
(6x)/6 = (-24)/6.
This gives us:
x = -4.
So the solution to the equation is x = -4.
3. To combine like terms -21a + 16a, we can simply add or subtract the coefficients of the terms with the same variable. In this case, we have -21a + 16a. The variable "a" is the same in both terms, so we can add their coefficients together:
(-21a) + (16a) = -5a.
So the combined like terms -21a + 16a simplifies to -5a.
The way to do these is to
1. add and subtract terms to get all the x stuff alone on one side
2. factor out the x
3. multiply or divide to get x all alone
x/4 + 1 = -5
x/4 = -6
x = -24
6x + 29 = 5
6x = -24
x = -4
-21a + 16a
(-21+16)a
-5a