Question

Solve the system of equations. 6x – 3y = 3 –2x + 6y = 14

Answer 1

x=2; y=3

Explanation:

You first add 3y to both sides. Divide both sides by 6. Then subsitute to get your answer.

Answer 2

x=2, y=3

Explanation:

6x-3y=3

-2x+6y=14

From the first equation, let's figure out x.

6x-3y=3

+3y +3y

6x=3+3y

/6 /6

x=(3+3y)/6

Now, substitute

-2(0.5+0.5y)+6y=14

-1-y+6y=14

-1+5y=14

+1 +1

5y=15, y=3

So now that we know the value of y, we can substitute with our x equation to get the value of x.

x=0.5+0.5y

0.5y=0.5*3=1.5

1.5+0.5=2

So, x=2, y=3