Fill in the blanks to follow the steps in solving the equation: 5x−12−6x=−10x+7−1
(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
5x−12−6x=−10x+7−1
Step 1: Combine like terms Response area,
Step 2: Get x-terms on same side of equation Response area
Step 3: Get constants on same side of equation Response area
Step 4: Get the x by itself by using the inverse operation
Fill in the blanks to follow the steps in solving the equation: 5x−12−6x=−10x+7−1
(4 points)
5x−12−6x=−10x+7−1
Step 1: Combine like terms Response area,
Step 2: Get x-terms on same side of equation Response area
Step 3: Get constants on same side of equation
Step 4: Get the x by itself by using the inverse operation
Bot GPT 3.5 can you help me with this question?
Sure! I'd be happy to help you solve the equation.
Step 1: Combine like terms
On the left side of the equation, we have 5x and -6x. These terms can be combined by subtracting 6x from 5x, resulting in -x. On the right side of the equation, we have -10x, 7, and -1. These terms do not have like terms, so they remain as they are.
The equation becomes: -x - 12 = -10x + 7 - 1
Step 2: Get x-terms on same side of equation
To get the x-terms on the same side of the equation, we can add 10x to both sides.
-x + 10x - 12 = -10x + 10x + 7 - 1
Simplify: 9x - 12 = 7 - 1
Step 3: Get constants on the same side of the equation
To get the constants on the same side, we can add 12 to both sides.
9x - 12 + 12 = 7 - 1 + 12
Simplify: 9x = 18
Step 4: Get the x by itself by using the inverse operation
To solve for x, we can divide both sides by 9.
(9x)/9 = 18/9
Simplify: x = 2
So the solution to the equation is x = 2.
Solve the equation justifying with the correct reasoning: 2(x+8)=2x +8
(5 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
2(x+8)=2x +8
Step 1: Property to get Response area
Step 2: Response area Property to get Response area
For this equation, there is/are Response area
Properties and Reasons
Equation Steps
Step 1: Distributive Property to get rid of the parentheses
2(x + 8) = 2x + 8
Multiply 2 by both terms inside the parentheses: 2x + 16 = 2x + 8
Step 2: Property to get the x terms on the same side of the equation
We can subtract 2x from both sides to bring all the x terms to one side: 2x + 16 - 2x = 2x + 8 - 2x
The 2x term cancels out on the left side, so we are left with 16 = 8.
For this equation, there is no solution. The equation leads to an inconsistency because 16 does not equal 8.
Properties and Reasons:
- Distributive Property: This property allows us to multiply a term outside the parentheses by each term inside the parentheses.
- Subtracting like terms: This property allows us to subtract the same terms from both sides of the equation.
Equation Steps:
- Step 1: Apply the Distributive Property to eliminate the parentheses.
- Step 2: Subtract the same terms on both sides to get the x terms on the same side of the equation.
are you correct?
is step 2 correct? you have 2 different answers each time make sure you are correct please
Match the description of the one variable equation with the number of solutions it will have.(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
x−7=7−x
3(x+5)=3x+5
10−x=25
2(x+4)=2x+5+3
Bot GPT 3.5 can you help me with this question?
A student wants to purchase some new school supplies. He wants to buy a calculator that costs $24 and some notebooks for school. Each notebook costs $2. The student only has $37 to spend.
Let n represent the number of notebooks that he buys.
Which inequality describes this scenario?
(1 point)
Responses
37≥2n+24
37 is greater than or equal to 2 n plus 24
24n+2≥37
24 n plus 2 is greater than or equal to 37
37>2n+24
37 is greater than 2 n plus 24
37<2n+24
Step 1: Combine like terms:
To combine like terms, we need to simplify both sides of the equation by adding or subtracting the terms with the same variables.
On the left side of the equation, we have 5x and -6x. We can combine these to get -1x or simply -x. So, the left side becomes -x - 12.
On the right side of the equation, we have -10x and 7. We don't have any other x-terms to combine with, so we leave it as it is: -10x + 7.
So, the equation becomes:
-x - 12 = -10x + 7
Step 2: Get x-terms on the same side of the equation:
To get the x-terms on the same side of the equation, we can add 10x to both sides.
On the left side, -x + 10x = 9x.
On the right side, -10x + 10x + 7 = 7.
So, the equation becomes:
9x - 12 = 7.
Step 3: Get constants on the same side of the equation:
To get the constants on the same side of the equation, we can add 12 to both sides.
On the left side, 9x - 12 + 12 = 9x.
On the right side, 7 + 12 = 19.
So, the equation becomes:
9x = 19.
Step 4: Get the x by itself by using the inverse operation:
To get the x by itself, we need to divide both sides of the equation by 9.
On the left side, (9x)/9 = x.
On the right side, 19/9 is the simplest form of the division.
So, the solution is:
x = 19/9 (or approximately 2.111).
Step 1: Combine like terms
5x - 12 - 6x = -10x + 7 - 1
Combine the x terms on the left side: -x - 12 = -10x + 7 - 1
Step 2: Get x-terms on same side of equation
To do this, we can add 10x to both sides of the equation: -x + 10x - 12 = -10x + 10x + 7 - 1
Simplify: 9x - 12 = 7
Step 3: Get constants on same side of equation
To do this, we can add 12 to both sides of the equation: 9x - 12 + 12 = 7 + 12
Simplify: 9x = 19
Step 4: Get the x by itself by using the inverse operation
To isolate x, we can divide both sides of the equation by 9: (9x)/9 = 19/9
Simplify: x = 19/9