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

Mathematics

1 answer:

Aleks [24]2 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

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Trava [24]

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3 years ago

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pashok25 [27]

If you think about it, the question is asking us to find the greatest common factor, or GCF, of the two numbers, 24 and 18.
First, find all of the factors of 24.
The factors are: 1, 2, 3, 4, 6, 8, 12, 24
Next, find the factors of 18.
The factors are: 1, 2, 3, 6, 9, 18
List out all of the factors that both of the numbers have.
The factors are: 1, 2, 3, 6
Whichever is the greatest of these numbers is the GCF.
The GCF is 6, so the greatest number of groups he can make and still be able to win is 6.
Hope this helps!

6 0

3 years ago

Read 2 more answers

Help! Urgent request

TiliK225 [7]

Answer: 6 students

What we know:

Students: 24

Students who play checkers: $\frac{2}{3}$