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3 years ago

What value of x makes this equation true ? -6x+3=45

Mathematics

1 answer:

Sveta_85 [38]3 years ago

6 0

Answer:

x = -7

Step-by-step explanation:

-6x + 3 = 45

First, we need to get rid of the 3 by subtracting it by 3. We need to do the same to the number on the other side.

-6x + 3 = 45

-3 - 3

-6x = 42

Then, to iolate the x, we need to divide -6 by itself to cancel the number out and get x alone. We also need to divide 42 by -6 as well.

$\frac{-6x}{-6} = \frac{42}{-6}$

42 divided by -6 is -7.

$x=-7$

I hope this helps!

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A group of friends are at a baseball game and are purchasing souvenirs. Dustin purchased 5 t-shirts and 1 baseball cap, spending

Inessa [10]

Answer:

Shirt-$19

Cap-$24

Step-by-step explanation:

5s+1c=119

1s+1c=43

1c=43-1s

substitute:

5s+(43-1s)=119

5s+43-1s=119

4s=119-43

4s=76

1s=19

substitute:

1c=43-(19)

1c=24

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3 years ago

Graph f(x) = 4[x] + 5

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3 years ago

A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the

Alexus [3.1K]

4x+6y=56 and y=4x can be used to determine the number of small cars rented and the number of large cars rented, where x represents number of small cars and y represents number of large cars.

Step-by-step explanation:

Number of people hold by small cars = 4

Number of people hold by large cars = 6

Let,

Number of small cars = x

Number of large cars = y

The students rented 4 times as many large cars as small cars,

y = 4x Eqn 1

which altogether can hold 56 people.

4x+6y=56 Eqn 2

4x+6y=56 and y=4x can be used to determine the number of small cars rented and the number of large cars rented, where x represents number of small cars and y represents number of large cars.

Keywords: linear equations, addition

Learn more about linear equations at:

#LearnwithBrainly

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3 years ago

7) Solve the following system of equations below algebraically using substitution.

Pani-rosa [81]

Answer:

x = 3.25

y =4.75

Step-by-step explanation:

In order to Solve the following system of equations below algebraically using substitution method we say that;

let;

8x - 4y = 7 ..................... equation 1

x + y = 8.......................... equation 2

from equation2

x + y = 8.......................... equation 2

x = 8 - y.............................. equation 3

substitute for x in equation 1

8x - 4y = 7 ..................... equation 1

8(8-y) - 4y = 7

64-8y-4y=7

64-12y=7

collect the like terms

64-7 = 12y

57= 12y

divide both sides by the coefficient of y which is 12

57/12 = 12y/12

4.75 = y

y =4.75

put y = 4.75 in equation 3

x = 8 - y.............................. equation 3

x = 8 -4.75

x = 3.25

to check if your answer is correct, put the value of x and y in either equation 1 or 2

from equation 2

x + y = 8.......................... equation 2

3.25 + 4.75 =8

8=8.................... proved

8 0

3 years ago

Find the nth term of this number sequence. 1,7,13,19...

masya89 [10]

Answer:

This sequence is arithmetic, and the next term is 25

Step-by-step explanation:

The common difference of the sequence is 6, so the next term is 19+6=25.

The difference between the consecutive terms is constant => sequence is arithmetic.

7-1=6

13-7=6

19-13=6

6 0

2 years ago

Read 2 more answers