Question

2x + 2y = -2
3x - 2y = 12
NEED FULL EQUATION PLS

Answer 1

Answer:

x = 2

y = -3

Step-by-step explanation:

2x + 2y = -2...(i)

3x - 2y = 12....(ii)

Now add (i) and (ii)

= 2x + 2y = -2

+3x - 2y = +12

5x + 0 = 10

=> 5x = 10

=> x = 10/5 = 2

Put the value of x in equation (i)

x = 2

2x + 2y = -2

=> 2(2) + 2y = -2

=> 4 + 2y = -2

=> 2y = -2-4

=> 2y = -6

=> y = -6/2

=> y = -3

Hence x = 2 and y = (-3)

put the value of variables in any equation to check the answer.

Elemination method :-

• First multiply any leading variable to make same value in both equation.
• Then subtract one to other.
• Then solve equation.

hope it helps.

Answer 2

Answer:

x = -2 & y = 1

Step-by-step explanation:

2x + 2y = -2 ⇒ eqution 1

3x - 2y = 12 ⇒ equation 2

* Multiply equation (1) by -1 to make the coefficients of y equal.

-1 [ 2x + 2y ] = [-2] [ -1 ]

-2x - 2y = 2 ⇒ equation 3

*Subtract (3) from equation (2) to eliminate y, because the coefficients of y are the same.

[ -2x - 2y ] - [ 3x - 2y ] = 12 - 2

[ -2x - 3x ] - [ -2y + 2y ] = 10

                              -5x = 10

                                  -x = 10/5

                                  -x = 2

                                   x = -2

* finding the value of y

    2x + 2y = -2

2(-2) + 2y = -2

    -4 + 2y = -2

           2y = -2 + 4

           2y = 2

             y = 2/2

             y = 1

∴ x = -2 & y = 1

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