Respuesta :

wegnerkolmp2741o

Answer:

(6,-2)

Step-by-step explanation:

2x + 3y = 6

 x + y = 4

Multiply the second equation by -2 to eliminate x

-2(x+y) = -2*4

-2x-2y = -8

Add this to the first equation

2x + 3y = 6

-2x -2y = -8

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

       y = -2

Now we need to find x

x+y = 4

x-2 = 4

Add 2 to each side

x-2+2 = 4+2

x = 6

(6,-2)

lublana

Answer:

(6,-2)

Step-by-step explanation:

Given equations are [tex]2x + 3y = 6[/tex] and [tex]x + y = 4[/tex].

Solve 2nd equation  [tex]x + y = 4[/tex] for y

[tex]x + y = 4[/tex]

[tex]y = 4-x[/tex] ...(i)

Plug value of y from equation (i) into first equation  [tex]2x + 3y = 6[/tex]

[tex]2x + 3(4-x) = 6[/tex]

[tex]2x + 12-3x = 6[/tex]

[tex]12-x = 6[/tex]

[tex]-x = 6-12[/tex]

[tex]-x = -6[/tex]

[tex]x = 6[/tex]

Plug x=6 into equation (i)

[tex]y = 4-x[/tex]

[tex]y = 4-6[/tex]

[tex]y = -2[/tex]

Hence final answer is x=6, y=-2 or we can write that in (x,y) form as (6,-2)

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