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Lilit [14]
2 years ago
9

Y= 3x + 1

Mathematics
2 answers:
Nikolay [14]2 years ago
7 0
Answer: B. -4

When 2 equations equal the same thing (in this case y) we can just re-write the equations this way:

3x + 1 = 2x - 3

Now, just start picking off little numbers that we don’t really need to get the x alone. I don’t like working with negative numbers, so i’ll get rid of the -3 by adding 3 to it. Since anything you do on one side of an equal sign you have to do on the other, i’ll add 3 to 1, which looks like this:

3x + 1 = 2x - 3
+3 +3
3x + 4 = 2x

Now I need to get both x’s on the same side, so i’ll subtract 3x from 3x, then subtract 3x from 2x:

3x + 4 = 2x
-3x -3x
4= -x

Variables should never be negative, and they look complicated too, so in order to make x positive again i’ll swap it’s side with 4. While doing this, remember that swapping sides means you swap 4 to a negative too:

4 = -x
x= -4

And there’s the answer, X equals -4. If you wanted to solve for y, just plug in the x value (which is -4 in this case) to any one of the equations:

y= 3x + 1
y= 3(4) + 1
y= 12+ 1
y= 13

Hope this helped!
SSSSS [86.1K]2 years ago
4 0
It might be C or D im also doing substitution so i don’t really know
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An electrician cuts a 136 foot long piece of cable. One piece is 16 feet less than 3 times the length of the other piece. Find t
Ugo [173]

Answer:

98 ft  and   38 ft

Step-by-step explanation:

We know that the initial length of the piece is  136 feet

Then the piece is cut into two pieces.

Let's call x the length of the first piece  of cable and call z the length of the second piece of cable.

So we know that

x + z = 136

and

x = 3z-16

Now we substitute the second equation in the first one and solve for the variable z

3z-16 + z = 136

4z-16= 136

4z= 136+16

z= \frac{152}{4}

z=38\ ft

Now we find the length x

x + 38 = 136

x= 136-38

x= 98\ ft

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3 years ago
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SOVA2 [1]

Answer: Sorry but we need the questions before I can give you answers.

Step-by-step explanation:

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3 years ago
Y=2x+5 and y=3x+11 solve by substitution.
kondaur [170]

Answer:

Answer: x= -6 and y= -7

Step-by-step explanation:

Substitute 2x+5 for y in y=3x+11:

y=3x+11

2x+5=3x+11

2x+5+−3x=3x+11+−3x(Add -3x to both sides)

−x+5=11

−x+5+−5=11+−5(Add -5 to both sides)

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x=−6

Step: Substitute −6 for x in y=2x+5:

y=2x+5

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-Source: MathPapa

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The fairy tale spectacular is coming to town. Admission to the fair costs $42.50 and each ride costs $.65. You have $60 to spend
galina1969 [7]

Part A: 42.50+0.65x<60

Part B: You can enjoy maximum 26 rides at the fairy tale spectacular.

Step-by-step explanation:

Given,

Admission cost to fair = $42.50

Cost of each ride = $0.65

Amount you can spend = $60

Let,

x be the number of rides you can take.

Admission fair + Cost of each ride*number of rides < Amount you can spend

Part A: write an inequality that represents this situation.

42.50+0.65x<60

Part B: solve the inequality to determine the maximum number of rides you can enjoy at the fairy tale spectacular.

42.50+0.65x

Dividing both sides by 0.65

\frac{0.65x}{0.65}

Rounding off to nearest whole number;

x<27

Less than 27 means, you cannot take 27 rides, therefore,

You can enjoy maximum 26 rides at the fairy tale spectacular.

Keywords: inequality, division

Learn more about inequalities at:

  • brainly.com/question/10629017
  • brainly.com/question/10633485

#LearnwithBrainly

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The correct answer is D, 6x
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