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Leno4ka [110]
3 years ago
15

Find the solution to the following system using substitution or elimination: y = 3x + 2 y = -2x - 8 O A. (-5,-) OB. (-2,-4) O C.

(1,-6) O D. (-:-)​
Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0

Answer:

B. (-2,-4)

Explanation

Given equations:

   y = 3x + 2

   y = -2x - 8

Solving both equations will yield the values of x and y;

Solution:

   y = 3x + 2    ----- (i)

   y = -2x - 8   ------ (ii)

Using substitution method, input equation i, into ii

    3x + 2 = -2x - 8

Collect like terms and solve;

     3x + 2x = -8 -2

         5x  = -10

            x  = -2

Then put x = -2 into i, to find y

      y = (-2 x 3) + 2

       y = -6 + 2 = -4

So, the solution of the equation is B. (-2,-4)

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Step-by-step explanation:

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x^2 + 2x-3= x - 1

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2) a parallelogram                  
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3 years ago
Select the point that is a solution to the system of inequalities.<br> y≤2x-2<br> y≤ x²-3x
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Both statements are true. Therefore (4,2) is a solution and option D is correct.

The given inequalities are y\leq 2x-2 and y\leq x^{2} -3x.

We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).

<h3>What is an example of a system of inequalities in real life?</h3>

Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.

Any point is a solution to this system of inequality if it satisfies both inequalities.

Check the inequalities by each option.

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This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.

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This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.

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Applying the quadratic formula we get:

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