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vredina [299]
3 years ago
15

How would i solve this problem 2x-5=4x-1?

Mathematics
2 answers:
VikaD [51]3 years ago
7 0
2x-5=4x-1
    +5=   +5
2x=4x+4
-4x=-4x
-2x=4
x=-2
kow [346]3 years ago
5 0
<em>2 x - 5 = 4 x - 1 
combine variables and constants we get
2 x - 4 x = -1 + 5
- 2 x = 4 
dividing - 2 on other side
x = 4 / - 2 
x = - 2 answer...
</em>
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A granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredien
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Answer:

a. 5 represents the number of calories that come from other ingredients.

b. Neither 8 nor 3 satisfy the given equation, so neither 8 nor 3 can be the solution to the equation.

c. <em>c = 5.5</em>

Step-by-step explanation:

We are given the equation:

4c + 5 = 27

Where c represents the grams of carbohydrates

27 is the total number of calories that are received by the granola bite.

4 is the number of calories from 1 gram of carbohydrates and

5 is the number of calories that are received from other ingredients.

Answer of Part a:

5 is the number of calories that are received from other ingredients.

Part b:

Let us take left hand side (LHS) and put values of c = 8 and 3 one by one.

So, LHS becomes:

4 \times 8 + 5 = 37 \neq RHS\ i.e.\ 27

4 \times 3 + 5 = 17 \neq RHS\ i.e.\ 27

So, Priya is correct that neither 8 or 3 could be solution.

Part c:

4c + 5 = 27\\\Rightarrow 4c = 22\\\Rightarrow \bold{c = 5.5}

So, solution to the equation is: <em>c = 5.5</em>

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<h2>Answer:</h2>

We will use substitution to solve this system for x.

x - 2y = 27\\y = 5x\\\\x - 2(5x) = 27\\\\x - 10x = 27\\\\-9x = 27\\\\x = -3

Now that we know what x is, we can determine y by pluging in -3 for x in one of the original equations. I will use the first one.

-3 - 2y = 27\\\\-2y = 30\\\\y = -15\\

We now have our solution.

D. (-3, -15)

We can check our answer by pluging the solution into one of the original equations to see if both sides equal each other. I will use the first equation.

-3 - 2(-15) = 27\\\\-3 + 30 = 27\\\\27 = 27

Since the equation checks out, our solution is correct.

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