MATHEMATICS HIGH SCHOOL

Which of these is a simplified form of the equation 7y + 8 = 9 + 3y + 2y?7y = 6
2y = 1
12y = 17
5y = 17

Answers

Answer 1
Answer: put same forms to each sides
7y -5y = 9 - 8
2y = 1
Answer 2
Answer:

Answer:

2y=1

Step-by-step explanation:

7y + 8 = 9 + 3y + 2y

WE need to simplify it, try to get variable on one side and constant on the other side

7y + 8 = 9 + 3y + 2y

first we combine like terms

3y+2y is 5y

7y + 8 = 9 + 5y

Now to get y terms on one side we subtract 5y from both sides

7y -5y + 8 = 9 + 5y-5y

2y +8 = 9

Now we subtract 8 from both sides

2y +8 -8 = 9-8

2y= 1

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The work of a student to solve a set of equations is shown:Equation A: y = 15 – 2z


Equation B: 3y = 3 – 4z

Step 1: –3(y) = –3(15 – 2z) [Equation A is multiplied by –3.]
3y = 3 – 4z [Equation B]
Step 2: –3y = 15 – 2z [Equation A in Step 1 is simplified.]
3y = 3 – 4z [Equation B]
Step 3: 0 = 18 – 6z [Equations in Step 2 are added.]
Step 4: 6z = 18
Step 5: z = 3

In which step did the student first make an error

Answers

Step 1. Equation B could not have simplified out to 3y= 3 - 4z because Equation A's original equation was y= 15 - 2z. That means after the multiplication by -3, -3(y)= -3(15 - 2z) it would equal -3y= -45 + 6z.

Answer:

Step 2

Step-by-step explanation:

Where did the -3 from the first equation get simplified to?

Step 1: –3(y) = –3(15 – 2z)

Step 2: 3y = 15 – 2z

What is the point of origin on a number line

Answers

0 is the point of origin because it's not really a number, it's more of a starting point for positive and negative numbers. 

What is the area of this trapezoid?

The area of the trapezoid is __ square units.

Answers

Answer:

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Step-by-step explanation:

how we going to see it if that is black
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