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2 years ago

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Mathematics

1 answer:

yaroslaw [1]2 years ago

7 0

Step-by-step explanation:

$a. \frac{x}{y}$

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In order to solve the following system of equations by addition, which of the

Pavlova-9 [17]

Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given system of equations:

$\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}$

To solve the given system of equations by addition, make one of the variables in both equations sum to zero. To do this, the chosen variable must have the same coefficient, but it should be negative in one equation and positive in the other, so that when the two equations are added together, the variable is eliminated.

To eliminate the variable y:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

$\implies -3(4x-2y=7) \implies -12x+6y=-21$

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

$\implies 2(3x-3y=15) \implies 6x-6y=30$

Add the two equations together to eliminate y:

$\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}$

Solve for x:

$\implies -6x=9$

$\implies x=-\dfrac{9}{6}=-\dfrac{3}{2}$

Substitute the found value of x into one of the equations and solve for y:

$\implies 3\left(-\dfrac{3}{2}\right)-3y=15$

$\implies -\dfrac{9}{2}-3y=15$

$\implies -3y=\dfrac{39}{2}$

$\implies y=-\dfrac{39}{2 \cdot 3}$

$\implies y=-\dfrac{13}{2}$

Learn more about systems of equations here:

brainly.com/question/27868564

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3 0

1 year ago

Read 2 more answers

Sarah is going to the store to buy bread for a picnic. She needs twice as many slices of bread than cheese slices. She has 24 ch

Anastaziya [24]

Answer:

4 bags of bread

Step-by-step explanation:

8 0

2 years ago

Approximately how many times bigger was the 1908 siberian asteroid than the diameter of the chelyabinsk asteroid

elena-14-01-66 [18.8K]

1908 Siberian Asteroid is known to be 130 feet/ 18 meters in diameter while on the other hand Chelyabinsk Asteroid is known to be 59 feet/40 meters in diameter. To find how many times Siberian Asteroid is bigger than Chelyabinsk Asteroid we just have to divide Siberian by Chelyabinsk here we get:

10/59=2.2 = 1908 Siberian Asteroid is 2.2 times bigger than Chelyabinsk Asteroid.

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2 years ago

Solve the problem down below: ty :P

AVprozaik [17]

Answer:

the correct answer is1/4

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2 years ago

If you skip 2 hundreds from 419, what number will you land on?

defon

I think what's your trying to say is 419-200? If so it's 219