Question

Can someone please help me?

Answer 1

( - 1 , - 1 )

Option D is the correct option.

Explanation:

y = - 2x - 3 → Equation ( i )

y = 3x + 2 → Equation ( ii )

Using elimination method

y + 2x = - 3

y - 3x = 2

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5x = - 5

Divide both sides of the equation by 5

`(5x)/(5) = ( - 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 * ( - 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)`

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

`- 1 = - 2 * ( - 1) - 3`

`- 1 = 3 * ( - 1) + 2`

Simplify the equation

`- 1 = - 1`

`- 1 = - 1`

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

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

Hope this helps..

Best regards!!