contestada

3
3
-6x + 6y= 6
-6x + 3y=-12
Solve the following system of equations. Write answer as an ordered pair (x,y), or write no
solution or infinitely many solutions if the system results in these cases. * "
(1 Point)
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3 3 6x 6y 6 6x 3y12 Solve the following system of equations Write answer as an ordered pair xy or write no solution or infinitely many solutions if the system r class=

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Answer:

The solution set is (5,6).

Step-by-step explanation:

Given equations are:

-6x + 6y= 6         Eqn 1

-6x + 3y=-12      Eqn 2

Subtracting Eqn 2 from Eqn 1

(-6x+6y)-(-6x+3y)= 6-(-12)

-6x+6y+6x-3y=6+12

3y = 18

Dividing both sides by 3

[tex]\frac{3y}{3}=\frac{18}{3}\\y=6[/tex]

Putting y=6 in Eqn 1

-6x+6(6)=6

-6x+36=6

-6x=6-36

-6x=-30

[tex]\frac{-6x}{-6}=\frac{-30}{-6}\\x=5[/tex]

Hence,

The solution set is (5,6).