1.(g + 4) - 3g = 1 + g

1
4
No solution
Identity

2. 5y + 2 = 1/2(10y + 4)

5
10
No solution
Identity

3. 0.5b + 4 = 2(b + 2)

0
0.5
No solution
Identity

4. -3x + 5 = -3x + 10

5/6
-5/6
No solution
Identity

My answers:
1. 1
2. Identity
3. 0 ??? Not sure
4. No solution

I really need help on these I don't understand!

A D A A are correct

1. G=1

2. Identity
3.b=0
4. 7

I know this is kinda late but thank you!!! That is correct I got my paper back today thanks!

i dont understand

A D A C ur welcome

3. .5 b=2b

1.5b=0
b=0

all the others are correct.

Can you not just put Letters in the answers are randomized in different spots

4. -3x+5=-3x+10

c. No solution

No problem! Let's go through each equation step by step and solve for the variables.

1. (g + 4) - 3g = 1 + g

To solve this equation, we need to simplify both sides and isolate the variable "g".

(g + 4) - 3g = 1 + g

First, distribute the negative sign to both terms inside the parentheses on the left side:

g + 4 - 3g = 1 + g

Combine like terms on each side:

-g + 4 = 1 + g

Now, let's isolate the "g" term by moving all the terms with "g" to one side and the constants to the other side:

-g - g = 1 - 4

Combine like terms:

-2g = -3

Divide both sides of the equation by -2 to solve for "g":

g = -3/-2

Simplifying the fraction on the right side:

g = 3/2

So, the solution to this equation is g = 3/2, which is a rational number (not an integer). Therefore, the correct answer is: 1. Identity.

2. 5y + 2 = 1/2(10y + 4)

To solve this equation, we need to simplify both sides and isolate the variable "y".

5y + 2 = 1/2(10y + 4)

First, distribute the 1/2 to both terms inside the parentheses on the right side:

5y + 2 = 1/2 * 10y + 1/2 * 4

Simplify the right side of the equation:

5y + 2 = 5y + 2

As you can see, the left side is equivalent to the right side. This means that no matter what value we substitute for "y", the equation will always be true. In other words, the equation is an identity. So, the correct answer is: 2. Identity.

3. 0.5b + 4 = 2(b + 2)

To solve this equation, we need to simplify both sides and isolate the variable "b".

0.5b + 4 = 2(b + 2)

First, distribute the 2 to both terms inside the parentheses on the right side:

0.5b + 4 = 2b + 4

Subtract 0.5b from both sides to move the "b" terms to one side:

0.5b - 0.5b + 4 = 2b - 0.5b + 4

Simplify the equation:

4 = 1.5b + 4

Subtract 4 from both sides:

4 - 4 = 1.5b + 4 - 4

The equation simplifies to:

0 = 1.5b

This means that for any value of "b" we substitute, the equation will always be true. In other words, the equation is an identity. So, the correct answer is: 3. Identity.

4. -3x + 5 = -3x + 10

To solve this equation, we need to simplify both sides and isolate the variable "x".

-3x + 5 = -3x + 10

Subtract (-3x) from both sides to move the "x" terms to one side:

-3x + 3x + 5 = -3x + 3x + 10

Simplify the equation:

5 = 10

If you look at this equation, you can see that 5 does not equal 10. This means there is no value of "x" that makes the equation true. In other words, the equation has no solution. So, the correct answer is: 4. No solution.

For connexus students

A D A C