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s344n2d4d5 [400]
2 years ago
5

10

Mathematics
1 answer:
natima [27]2 years ago
6 0

Answer:

not sure explain it better please

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Which of these correctly explains the solution of the system of equations shown
borishaifa [10]

The solution of the system of equations is the point (-6, 6), so the correct option is B.

<h3>Which statements are correct about the system of equations?</h3>

Here we have the system of equations:

2x + 3y = 6

x + 3y = 12

First, let's write these two lines in the slope-intercept form:

y = (6 - 2x)/3 = 2 - (2/3)*x

y = (12 - x)/3 = 4 - (1/3)*x

Now, because "y" is the represents the same variable in both equations, we can write:

2 - (2/3)*x = y = 4 - (1/3)*x

Now we can solve that for x.

2 - (2/3)*x =  4 - (1/3)*x

2 - 4 = (2/3)*x - (1/3)*x

-2 = (1/3)*x

3*(-2) = x = -6

Now, to get the y-value of the solution we can evaluate any of the two lines in x = -6, evaluating the first we get:

y =  4 - (1/3)*x = 4 - (1/3)*(-6) = 4 + 2 = 6

Then the solution of the system is the point (-6, 6). Then the correct statement is B:

"The values of x= -6 and y= 6 satisfy both the equations; therefore, (-6, 6) is the solution."

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

8 0
1 year ago
What is the value of x? Enter your answer in the box. x =
11111nata11111 [884]

Answer:

<h2><u><em>55°</em></u></h2>

Step-by-step explanation:

the sum of the interior angles of a triangles is 180°

so

180 = 75 + 50 + x

x = 180 - 75 - 50

x = 55°

-----------------------

check

55 + 75 + 50 = 180°

the answer is good

7 0
1 year ago
What is the number? I know it isn't 290. Please I need help on this otherwise it's a detention and have several other assignment
o-na [289]

Answer:

280

Step-by-step explanation:

each individual line is a +20, therefore one line before 300 would be 300-20=280

7 0
3 years ago
Read 2 more answers
Luke has 1/3 of a package of dried apricots. He divides the dried apricots equally into 3 small bags. Luke gives one of the bags
Nitella [24]
1/3 ÷ 3 = \frac{1}{9} for each

Luke will stay with a total of:

\frac{1}{9} (x 3) = \frac{3}{9}

\frac{3}{9} -  \frac{1}{9} =  \frac{2}{9}

Hope it helped!
3 0
3 years ago
Read 2 more answers
Please help me thank you so much!
loris [4]

Answer: have you asked g o o g l e

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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