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dimulka [17.4K]
3 years ago
6

Solve using substitution y=1/2x x+4y=18

Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

The solution set is (6,3)

Step-by-step explanation:

Begin by multiplying equation 1 by 2. You'll see why in a moment

2y = 2*(1/2) x

2y = x

Substitute this value into equation 2.

2y + 4y = 18                  Combine like terms on the left

6y = 18                          Divide both sides by 6

6y/6 = 18/6                    Do the division

y = 3

To solve for x just use the top equation

y = 1/2x

3 = 1/2x                          Multiply by 2

3*2 = x

x = 6


You might be interested in
What is the probability that a red or green marble will be selected from a bag containing 9 red marbles, 6 blue marbles, 7 green
lara31 [8.8K]

Answer: \bold{\dfrac{16}{33} = 48\%}

<u>Step-by-step explanation:</u>

  Red  or  Green

=\dfrac{red}{total}+\dfrac{green}{total}

=\dfrac{9}{33}+\dfrac{7}{33}

=\dfrac{16}{33}

≈ 48%






4 0
3 years ago
Solve for z<br> 4/z =<br> 12/5 <br> what is z
Verdich [7]

Answer:

5/3      = z

Step-by-step explanation:

You can use proportions to figure this out.

Imma solve this as I work through it.

So

4/z is equal to 12/5. So you can do something called the butterfly method (I have never used this before, but it works tho) and the method involves only multiplication and division.

Lemme clean this up for ya

The butterfly method involves multiplying in a cross format on both sides, so the

4                       12

__        =      ______

z                          5

becomes 4 times 5, and z times 12.

4 times 5 is 20, and z times 12 is 12z

so you now have 20 = 12z

Lets simplify the equation by dividing by 4s

20 divided by 4 is 5 and 12z divided by 4 is 3z

so

5 = 3z

You can divide again

by dividing both sides

by

3

to get the unit rate of z.

It will be a fraction though

and it won't look pretty

but here it is:

5

__  = z

3

So

It is

5/3

Hope this helps

and hope you get a laugh out of this

yeeha

7 0
2 years ago
Please answer correctly !!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Over [174]

Answer:

n = 11

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Equality Properties
  • Vertical Angles: Angles that are across from each other and are congruent

Step-by-step explanation:

<u>Step 1: Set up equation</u>

<em>Vertical angles must be congruent.</em>

(6n - 4)° = (5n + 7)°

<u>Step 2: Solve for </u><em><u>n</u></em>

  1. Subtract 5n on both sides:                    n - 4 = 7
  2. Add 4 to both sides:                               n = 11
8 0
3 years ago
If the probability of an event is 0.39, what is the probability of its complement?
Igoryamba

Answer:

Step-by-step explanation:

p'=(1-0.39)=0.61

4 0
3 years ago
Read 2 more answers
How do i solve this equation? -5x =-40
LuckyWell [14K]
You solve it by dividing -40 over -5 then you will get x=8
5 0
2 years ago
Read 2 more answers
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