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kondaur [170]
2 years ago
14

How do i solve equations by substitution?

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
4 0
Just doing one! Here's my problem:    x-y-11  x-3y=1

So when you subsitute everything it should look like this: 1y-11-3y=1 (There needs to be a one in front of the y because it's just always been there. they don't always put it in the eqation.)  You need to + the 11 and you have to do that to each side. So... 1y-11-3=1
                                                                                                                +11    +11
Now it should look like this: 1y-3y=12
Combine the 1y and -3y to get -4y=12      Last step is divide -4y and 12 by 4  . Answer is y=3
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Bob's truck averages 23 miles per gallon. If Bob is driving to his mother's house, 72 miles away, how many gallons of gas are ne
anyanavicka [17]

Answer:

3.1 gallons

Step-by-step explanation:

To solve this, we need to figure out how many gallons of gas go into 72 miles. We know 23 miles is equal to one gallon of gas, and given that the ratio of miles to gas stays the same, we can say that

miles of gas / gallons = miles of gas / gallons

23 miles / 1 gallon = 72 miles / gallons needed to go to Bob's mother's house

If we write the gallons needed to go to Bob's mother's house as g, we can say

23 miles / 1 gallon = 72 miles/g

multiply both sides by 1 gallon to remove a denominator

23 miles = 72 miles * 1 gallon /g

multiply both sides by g to remove the other denominator

23 miles * g = 72 miles * 1 gallon

divide both sides by 23 miles to isolate the g

g = 72 miles * 1 gallon/23 miles

= 72 / 23 gallons

≈ 3.1 gallons

4 0
2 years ago
Sue uses 3.75 meters of string to tie 3 balloons. she has 25 balloons to tie. how much string does she need.
Leto [7]
31.25 meters 3.75<span> / </span>3<span> = 1.</span>25<span>,</span>
8 0
3 years ago
For some reason it says square but please help! I need to know step by step what to do.
quester [9]

Answer:

8.06 inches

Step-by-step explanation:

The diagram shows a rectangle with width of 4 inches and area of 28 square inches.

Use area formula:

A_{\text{rectangle}}=\text{Width}\times \text{Length}

So,

28=4\times \text{Length}\Rightarrow \text{Length}=\dfrac{28}{4}=7\ \text{inches}

By the Pythagorean theorem,

\text{Diagonal}^2=\text{Width}^2+\text{Length}^2\\ \\\text{Diagonal}^2=4^2+7^2\\ \\\text{Diagonal}^2=16+49\\ \\\text{Diagonal}^2=65\\ \\\text{Diagonal}=\sqrt{65}\approx 8.06\ \text{inches}

7 0
3 years ago
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kow [346]

Answer:

Third one is correct

Step-by-step explanation:

8 0
3 years ago
Mr escalante and mrs turner plan to take there music classes to a musical ruvue.Tickets cost 6 dollars each.They need total 48 t
IrinaVladis [17]
1. 6 x 48 = 288

2. 48 x 6 = 288
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3 years ago
Read 2 more answers
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