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Ede4ka [16]
3 years ago
15

Can someone please help me?

Mathematics
1 answer:
Vladimir79 [104]3 years ago
7 0

Answer:

<h3> ( - 1 , - 1 )</h3>

Option D is the correct option.

Step-by-step explanation:

y = - 2x - 3 → Equation ( i )

y = 3x + 2 → Equation ( ii )

Using elimination method

y + 2x = - 3

y - 3x = 2

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

5x = - 5

Divide both sides of the equation by 5

\frac{5x}{5}  =  \frac{ - 5}{5}

Calculate

x =  - 1

Again, Putting the value of x in equation ( ii ) in order t get the value of y

y = 3x + 2

plug the value of x

= 3  \times ( - 1) + 2

Any expression multiplied by ( - 1 ) equals it's opposite

=  - 3 + 2

Calculate

=  - 1

Therefore, The possible solution of the system is the ordered pair ( x , y )

(x \:, y \: ) =  ( - 1 \:, - 1)

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

Check if the given ordered pair is the solution of the system of equation

- 1 =  - 2 \times ( - 1)  - 3

- 1 = 3 \times ( - 1) + 2

Simplify the equation

- 1 =  - 1

- 1 =  - 1

Since all the equalities are true, the ordered pair is the solution of the system.

<h3>( x , y ) = ( - 1 , - 1 )</h3>

Hope this helps..

Best regards!!

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