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Katen [24]
1 year ago
5

3x – y = -1 x – 2y = -12

Mathematics
1 answer:
Leviafan [203]1 year ago
8 0

The solution to the system of equation is (2, 7)

<h3>System of equation</h3>

Given the  system of equation expressed as:

3x – y = -1  * 2

x – 2y = -12 * 1

________________

6x – 2y = -2

x – 2y = -12

Subtract to have;

6x-x = -2-(-12)

5x = 10

x = 2

Substitute x = 2 into 2 to have:

2 - 2y = -12

-2y = -14

y = 7

Hence the solution to the system of equation is (2, 7)

Learn more on system of equation here: brainly.com/question/25976025

#SPJ1

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X-(2x+3)<br> how to solve and why you change the sign for the +3?
alekssr [168]

Answer:

-x - 3

Step-by-step explanation:

x-(2x + 3)

=> x-1(2x + 3)

=> x - 2x - 3

=> -x - 3

Therefore, this is the solution. Hoped this helped.

GeniusUser

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2 years ago
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Monica opens a savings account with an initial deposit of $500. She earns 3.6% compound interest each quarter. How much would th
ExtremeBDS [4]

Answer:

P =500, r = 0.036, t = 5 , n=4

n=4 because we have a quarterly rate

After replace the values given we got:

A =500 (1+\frac{0.036}{4})^{4*5} = 598.127

If we round this answer to the nearest number we got approximately $598 after 5 years.

Step-by-step explanation:

For this case we can ue the compund interest formula for the future value given by:

A = P(1 +\frac{r}{n})^{nt}

Where P represent the initial amount , t the number of years and r the rate of interest on fraction. The value of n represent the number of times that the interest rate is compound in a year

For our case we have:

P =500, r = 0.036, t = 5 , n=4

n=4 because we have a quarterly rate

After replace the values given we got:

A =500 (1+\frac{0.036}{4})^{4*5} = 598.127

If we round this answer to the nearest number we got approximately $598 after 5 years.

7 0
3 years ago
What is 3x+2x(x-1)=9x+4
Korvikt [17]
3x+2(x-1)=9x=4
We move all terms to the left:
3x+2(x-1)-(9x)=0
We add all the numbers together, and all the variables
-6x+2(x-1)=0
We multiply parentheses
-6x+2x-2=0
We add all the numbers together, and all the variables
-4x-2=0
We move all terms containing x to the left, all other terms to the right
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5 0
3 years ago
Given the diagram below with line DE║ line AC. Find BC.
Karolina [17]

Answer:

13.5

Step-by-step explanation:

In triangle ABC, DE || AC

Therefore by basic proportionality theorem:

\frac{BD}{DA} = \frac {BE}{EC} \\\\\therefore  \frac{4}{8} = \frac {BE}{9} \\\\\therefore  \frac{1}{2} = \frac {BE}{9} \\\\\therefore  BE = \frac{9}{2} \\\\\therefore BE = 4.5\\\because BC = BE + EC \\\therefore BC = 4.5 + 9\\\huge \red {\boxed {\therefore BC = 13.5}} \\

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3 years ago
What are compatible numbers?
posledela
Numbers that are close in value to the actual numbers.
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2 years ago
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