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shtirl [24]
3 years ago
6

2. Use the linear combination method to solve the system of equations. Explain each step of your solution

Mathematics
1 answer:
sladkih [1.3K]3 years ago
3 0

x = - 3

y = -2

Step-by-step explanation:

3x - 8y = 7

x +2y = -7

We standardize the coefficient of one variable such that it addition will result to zero;

3x - 8y = 7

(x +2y = -7)4

Then multiply the one equation with a constant (this case 4) to get;

3x – 8y = 7

4x + 8y = - 28

We add the two equations;

3x – 8y = 7

+

4x + 8y = - 28

=

7x = - 21

x = -21 / 7

x = - 3

Now we evaluate y by replacing the value of x with -4 in one of the equation;

x +2y = -7

-3 +2y = -7

2y = -7 + 3

2y = - 4

y = -2

Learn More:

For more on linear combination check out;

brainly.com/question/13959574

brainly.com/question/12057389

#LearnWithBrainly

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Three farmers buy a total of 2,249 acres of land at an auction, Farmer Mel buys land that is 3 times as many acres as Farmer Cas
fgiga [73]

Answer:

Farmer Anne's land = 173 acres

Farmer Cassius = 519 acres

Farmer Mel = 1,557 acres

Step-by-step explanation:

Total acre = 2,249

Let

Farmer Anne's land = x

Farmer Cassius = 3x

Farmer Mel = 3(3x) = 9x

x + 3x + 9x = 2,249

13x = 2,249

x = 173

Farmer Anne's land = x = 173 acres

Farmer Cassius = 3x

= 3(173)

= 519 acres

Farmer Mel = 3(3x) = 9x

= 9(173)

= 1,557 acres

Therefore,

Farmer Anne's land = 173 acres

Farmer Cassius = 519 acres

Farmer Mel = 1,557 acres

8 0
3 years ago
john ran at a pace of 3.5 miles per hour for a distance of 10.5 miles. how many minutes did it take him to run 10.5 miles? use t
Rainbow [258]

The minutes it takes him to run 10.5 miles is 180 minutes

<h3>How many minutes did it take him to run 10.5 miles?</h3>

The given parameters are

Speed = 3.5 miles per hour

Distance = 10.5 miles

The time is calculated as:

Time = Distance/Speed

So, we have

Time = 10.5 miles/3.5 miles per hour

Evaluate the quotient

Time = 3 hours

Convert to minutes

Time  = 180 minutes

Hence, the minutes it takes him to run 10.5 miles is 180 minutes

Read more about speed at:

brainly.com/question/6504879

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5 0
1 year ago
When dividing 39100 by 100 the digits in the quotient will move how many places to the right
Shalnov [3]
It will be living two places to the edith hope this helps good luck
8 0
3 years ago
A box is filled with black (B), white (W), red (R), green (G), and pink (P) phone cases. A phone case is selected at random.
Angelina_Jolie [31]
The Sample Space for the experiment is {B, W, R, G, P}. :) The answer to the second question is 7/12. 
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8 0
3 years ago
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Janelle is in charge of bringing in dry erase markers for everyone in her math group to use to work on a project. She brings 3 m
Papessa [141]
Let x represent the number of students in Janelle’s group.  If  Janelle brings 3 markers for each person in her group, then she brings 3x markers for x students. You also know that she brings <span>5 extra markers for everyone to share. Thus, the total amount of markers she brings is 3x+5.
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If Janelle brings in 23 markers in all, then the equation <span><span>3x+5=23 </span> represaents the mathematical model. </span>

3x=23-5,3x=18,x=6

Answer: there are 6 students in Janelle's group.
8 0
4 years ago
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