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Elan Coil [88]
3 years ago
14

Solve the system using substitution. y = 4x – 8 y = 2x + 10

Mathematics
2 answers:
Mars2501 [29]3 years ago
3 0

Answer:

9,28

Step-by-step explanation:

see image below:)

Bad White [126]3 years ago
3 0
(y=4x-8)-(y=2x+10)
0=2x-18
By moving x to other side
2x=18
Dividing by 2
X= 9
Putting the value of x in any equation
y=4(9)-8 = 36-8 =28
Y=28
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12w - 27 = - 34+14w Select the equation that has the same solution as the given equation above.
Lisa [10]
Anything with a value of w=3.5 would be equivalent.

To solve this, we cannot have a variable on both sides, so we will subtract 12w from both sides:
12w - 27 - 12w = -34 + 14w - 12w
-27 = -34 + 2w

Now add 34 to both sides:
-27+34 = -34 + 2w + 34
 7 = 2w

Divide both sides by 2:
7/2 = 2w/2
3.5 = w
8 0
3 years ago
Read 2 more answers
together Preston and Horatio have 49 video game Horatio has 11 more games than Preston how many games does each person have
Bingel [31]
Preston has 19 games and Horatio has 30 games.
You can set this as a system of equations, set Preston as x and Horatio as y.
Both of the amounts add up to 49, so we can get the equation:
x+y=49

Since Horatio has 11 more games, we can get the equation:
y-x=11

If we add the x to the other side, the second equation becomes: 
y=x+11

We can plug in the second equation into the first and get the equation:
x+11+x=49

with a little simplification, we get x (Preston) is equal to 19. If we add 11 to it, we get Horatio's amount: 30
7 0
4 years ago
B is the midpoint of AC. What is the length of AB? AB is 9x+7 and BC is -3x+20
ahrayia [7]
<h3>Answer:</h3>

AB = \frac{67}{4}\\

<h3>Step-by-step explanation:</h3>

If B is the midpoint of \overline{AC} then AB is just half of AC and also, BC is just half of AC. This means that AB must be equal to BC. Essentially, 9x +7 = -3x +20 and we can solve for the of x from that equation.

9x +7 = -3x +20 \\ 9x +7 +3x = -3x +20 +3x \\ 12x +7 = 20 \\ 12x +7 -7 = 20 -7 \\ 12x = 13 \\ \frac{12x}{12} = \frac{13}{12} \\ x = \frac{13}{12}

Now we can solve for AB

AB = 9(\frac{13}{12}) +7 \\ AB = 3(\frac{13}{4}) +7 \\ AB = \frac{39}{4} +7 \\ AB = \frac{39}{4} +\frac{28}{4} \\ AB = \frac{67}{4}

8 0
3 years ago
Using prime factorization what is the GCF 3y 2 squared, 24y 3 cubed
WINSTONCH [101]

Answer:

3y^2

Step-by-step explanation:

Given:

To find the GCF of 3y^2\ and\ 24y^3 using prime factorization.

Writing each in prime factors:

3 = 1 \times <u>3</u>

24 = 1 \times 2 \times 2 \times2 \times <u>3</u>

Now, GCF of 3 and 24 is 3

y^2=1\times y\times y

y^3=1\times y\times y\times y

GCF of y^2 and y^3 is y\times y=y^2.

Therefore, the overall GCF of the two terms is 3y^2

8 0
3 years ago
What sentence is correct? 1) -2/5 = 0.4 (2) -2/5 = -0.4 (3) -5/2 = 2.5 (4) 5/2 = -2.5
Georgia [21]

Answer:

Sentence (2) -2/5=-.4

Step-by-step explanation:

You can prove by doing the division.

-2/5=-4/10=-.4

4 0
3 years ago
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