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Karolina [17]
2 years ago
14

Solve the system of equations. y equals x plus 8 y equals 3 x plus 2

Mathematics
2 answers:
kvasek [131]2 years ago
6 0

The solution to the system of equations is x = 3 and y = 11

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change, slope or gradient

<h3>How to determine the solution to the system?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

y equals x plus 8

y equals 3 x plus 2

Rewrite properly as

y = x + 8

y = 3x + 2

Substitute y = x + 8 in y = 3x + 2

x + 8 = 3x + 2

Evaluate the like terms

2x = 6

Divide by 2

x = 3

Substitute x = 3 in y = x + 8

y = 3 + 8

Evaluate

y = 11

Hence, the solution to the system of equations is x = 3 and y = 11

Read more about system of equations at

brainly.com/question/14323743

#SPJ1

True [87]2 years ago
4 0

The solution to the system of equation is as follows:

x = 3

y = 11

<h3>How to solve the system of equation?</h3>

y = x + 8

y = 3x + 2

Using substitution method,

3x + 2 = x + 8

subtract x from both sides

3x - x + 2 = x - x + 8

2x + 2 = 8

subtract 2 from both sides

2x + 2 - 2 = 8 - 2

2x = 6

divide both sides by 2

2x / 2  = 6 / 2

x = 3

y = 3 + 8 = 11

y = 11

learn more on equation here: brainly.com/question/13575946

#SPJ1

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Pls help give u brainlist
Elenna [48]

Answer:

The rate of change is \frac{7}{4} or 1.75. That shows that the cost per video game is $1.75

Step-by-step explanation:

The change in y over change of x or slope can be calculated using the equation:

m=\frac{y_{2} -y_{1} }{x_{2}-x_{1}  } so take the last two points: (10, 25) and (15, 33.75).

33.75-25=8.75

15-10=5

8.75/5=<u>1.75</u><u> </u><u>(7/4)</u>

x=video games

y=total cost

Since slope is change in y (cost) per change of x (video games), the answer is:

1.75 cost per video game

8 0
3 years ago
Unknown angle problems (with ale<br> Solve for I in the diagrarn below.<br> (24 + 45)<br> f<br> TE
astraxan [27]

Answer:

x = 45

Step-by-step explanation:

The angles with (2x + 45) and x are supplementary angles, meaning they add up to 180°. We can write this statement as an algebraic equation of 2x + 45 + x = 180 and solve it.

Step 1: Combine like terms.

  • (2x+x)+45=180
  • 3x+45=180

Step 2: Subtract 45 from both sides.

  • 3x + 45 - 45 = 180 - 45
  • 3x = 135

Step 3: Divide both sides by 3.

  • 3x/3 = 135/3
  • x = 45

Step 4: Check if solution is correct.

  • 2(45) + 45 + 45 = 180
  • 90 + 90 = 180
  • 180=180

Therefore, x = 45.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

8 0
2 years ago
Determine o x 2x+15 3x-25
Papessa [141]
2x+15 = 3x-25
2x-3x = -25 -15
-x = -40
x = 40
7 0
3 years ago
What is the relation of 2 parallel lines in terms of their slope?
mixas84 [53]
The slopes of two parallel lines are equal! They are identical to one another
4 0
3 years ago
Read 2 more answers
Jason flips a coin 100 times and lands on heads 59 times. He states that the theoretical probability of flipping a coin and gett
BabaBlast [244]
That is a false statement the coin has two sides one with a head and a tail’s it will always be a 50 out of 100 chance that it will land on heads or tails so basically FALSE
3 0
3 years ago
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