MATHEMATICS MIDDLE SCHOOL

After applying the distributive property on both sides of the equation, what is the next step?Solve -2(7 - 3x) = 4(-3x + 3)

A) Multiplication property of equality

B) Variables on both sides

C) Division property of equality

D) Combine like terms on the left side of the equation

Answers

Answer 1
Answer:

Answer:

B) Variables on both sides

Step-by-step explanation:

Solving a Linear Equation

Some basic steps are needed to solve a linear equation. We must operate every multiplication or division by applying the correspondent distributive property. Then we must separate variables from constants, then we must collect like terms, and finally, we must isolate the variable by using the division property of equality.

In the example provided in the question, we have

Solve -2(7 - 3x) = 4(-3x + 3)

We apply the distributive property on both sides of the equation:

-14 + 6x = -12x + 12

Now we must see where are the variables in both sides of the equation and prepare to have them all in one side (usually the left side)

Answer: B) Variables on both sides

Note: The option doesn't clearly state what are we going to do with the variables on both sides, I assumed to observe and prepare the variables for the next step

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Solve the formula for b2. A=1/2h(b1+b2)

12+5x=7x+3 solve for x. show your work.

Answers

1st: 12+5x=7x+3-3
2nd: 9+5x=7x
3rd: 9+5x-5x=7x-5x
4th: 9=2x
5th: 9/2=2x/2
6th x=4.5
CHECK:12 +5x4.5=7x4.5+3
12+22.5=31.5+3
34.5=34.5
X=4.5
The first thing you should do is get x on one side.

12+5x=7x+3

12+5x-5x=7x-5x+3

12=2x+3
Now that you've done that you must get the 2x by itself. You can do this by subtracting 3 from both sides.

12-3=2x+3-3

9=2x

Remember, you would only subtract if the number next to x is positive. If it is negative you would add. (Ex. 12=5x-3,12+3=5x-3+3, 15/5=5x/5, 3=x)

Now, you must divide both sides by 2 to get x by itself.

9/2=2x/2

Therefore your answer is 4.5=x
Now you have your X by itself. Hope this helps.

What is the solution to the system of equations?
3x-2y=19
Y=x-7

Answers

Greetings!

Answer:

x = 5 and y = -2

Step-by-step explanation:

Here you have given what y is equal to, this means you can sub this into the first equation:

3x - 2(x - 7) = 19

Expand the brackets:

-2 * x = -2x

-2 * -7 = 14

3x -2x +14 = 19

Move the +14 over to the other side making it a -14:

3x - 2x = 19 - 14

3x - 2x = 5

3x - 2x = x

So x = 5

Now sub this into the first equation:

3(5) - 2y = 19

15 - 2y = 19

Move the -2y over to the other side making it a +2y, and move the +19 over to the other side making it a -19:

15 - 19 = 2y

-4 = 2y

Divide both sides by two:

y = -2

So x = 5 and y = -2


Hope this helps!

What is the mean of the set of numbers
7,-9, 6, -10, -13, -5

Answers

Answer: -4, To get this answer Add up all of the numbers, then divide by how many numbers there are
the answer is for the equation -4

Explain why 90 is not a square number

Answers

90 is not a square number because you cannot multiple two of the same number to get 90.

For example, 4 is a square number, because 2 x2 = 4

Likewise, 9 is a square number (3 x3), and 81 is a square number (9 x 9)

What is 1/24 in simplest form

Answers


it is in simplest form
1/24 is already in simplest form because it can't be divided any lower.

Measures of center questions, please help.

Answers

1. The mode is C. 18
2. The median is B. 16
3. The mean is D. 14.25
4. The median is 2.3
5. The mean is 18
1) the mode is the number that repeats the most in a given set of numbers, so the answer would be c, 18
2) the median is b, 16 (if you put the numbers in chronological order, there are two middle numbers, to get the median you have to average those two numbers)
3) the mean is d, 14.25 (add all the numbers up and divide by the amount of numbers that you have [if you have 5 numbers, you divide by 5])
4) the median is 2.3
5) the mean is 18
hope this helps!
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