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2 years ago

State whether the equation is true, false or open? 4y+8=6y+3

Mathematics

2 answers:

g100num [7]2 years ago

8 0

Answer:

Open

Explanation:

An open equation is an equation that has variables and CAN be solved

Example: 2x = 4 ......> can be solved giving ......> x = 2

A false equation is one where both sides can NEVER be equal

Example: 15 = 2(3) + 1 ..........> 15 can never be equal to 7

A true equation is one having no variables and both sides are ALWAYS equal

Example: 2(3) + 1 = 2(2) + 3 ........> 7 will always be equal to 7

Now, the given equation is:

4y + 8 = 6y + 3

Let's try to solve is:

4y + 8 = 6y + 3

6y - 4y = 8 - 3

2y = 5

y = 2.5

Therefore, the given equation contains a variable and can be solved which means that it is an open equation

Hope this helps :)

Valentin [98]2 years ago

3 0

4y + 8 = 6y + 3

4y - 6y = 3 - 8

-2y = -5

y = -5/-2

y = 2.5

Hence since the equation has a solution so it is true.

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What is the answer of this problem -7/3(3x-2)=-21 ?

weeeeeb [17]

Answer:

= 11/3

Step-by-step explanation:

1. COMBINE MULTIPLIED TERMS INTO A SINGLE FRACTION

- 7/3 (3x-2)= -21

-7 (3x-2) = -21

-----------------------

2. DISTRIBUTE

-7( 3x- 2) ➗ 3 =-21

3. MULTIPLY ALL TERMS BY THE SAME VALUE TO ELIMINATE FRACTION DENOMINATORS

-21x + 14 ➗ 3 = 3 (-21)

4. CANCEL MULTIPLIED TERMS THAT ARE IN THE DENOMINATOR

3 ( -21x + 14) ➗ 3 (-21)

5. MULIPLY THE NUMBERS

-21x + 14 = 3(-21)

6. SUBTRACT 14 FROM BOTH SIDES OF THE EQUATION

-21x + 14 = -63

7. SIMPLIFY

-21x = - 77

8. DIVIDE BOTH SIDES OF THE EQUATION BY THE SAME TERM

-21x/-21 = -77/-21

9. SIMPLIFY

x = 11/3

3 0

2 years ago

What is the simple way of solving quadratic equation

aleksandrvk [35]

quadratic equations can be soled by 3 methods

factorization

completing square

quadratic formula

but factorization is the simplest

4 0

2 years ago

Tony separates a number of paintbrushes, x, into 3 equally sized groups. He claims that this is the same as making a group 1/3 t

DochEvi [55]

Answer:

Size of each group = $\frac{x}{3}$

Step-by-step explanation:

Total number of paint brushes = x

Since each the three groups are equally sized, to get the number of paintbrushes in a group, we will have to divide the total number of paint brushes by 3

∴ We have, number of paint brushes in a group = $\frac{Total number of paintbrushes}{3}\\$

= $\frac{x}{3}$

this is also the same thing as saying $\frac{1}{3}$ × $\frac{x}{1}$

This shows that the size of the new group is the same as $\frac{1}{3}$ the size of the original group

4 0

2 years ago

Write a unit rate for the situation. 1080 miles on 15 gallons

Masja [62]

72 miles=1 gallon

Step by step Explanation:
Divide 1080 by 15 and divide 15 by 15. You get 72 and one.
Hope me helped!

4 0

2 years ago

Read 2 more answers

There were 90 runners just start a race in the first half of the race 1/3 of them dropped out in the second half of the race 1/5

Eva8 [605]

Answer:

6 runners finished the race

Step-by-step explanation:

it starts with 90 runners. then 1/3 of them dropped out in the second half of the race, that means you do 90 divided by 3

90 ÷ 3 = 30

Then, 1/5 of the runners remained.

That means you do 30 divided by 5

30÷ 5= 6

so the answer is 6 remaining runners finished the race.

8 0

2 years ago