y=6X-11

-2x-3y=-7

Substitutions solve using that

Y=6x-11 (label equation 1)

-2x-3y=-7 (label equation 2)

sub 1 into 2

-2x-3 (6x-11) = - 7

-2x-18x+33=-7 (i expanded the brackets)

-20x+33=-7 (i simplified by adding like terms)

-20x=-40 (i subtracted 33 to both sides)

x=2 (i divided by - 20 to both sides)

sub x=2 into 1

y=6 (2) - 11

y=12-11

y=1

therefore x=2 and y=1

To do substitutions, you take a phrase equal to one letter and you put that phrase in the other equation. The equations we're working with are

y = 6x - 11

-2x - 3y = - 7

So it's already set up for us: it gives us what y equals; 6x - 11. So, just plug 6x - 11 into the y of the other equation

-2x - 3 (6x - 11) = - 7 Then you distribute the - 3 on the outside of the parentheses to the 6x and the - 11 on the inside.

-2x - 18x + 33 = - 7 Move a few numbers around and add like terms.

-20x = - 40 Then, just solve for x by dividing by - 20.

x = 2

So, now you have the x: 2. Use that to find the y in y = 6x-11 by plugging in the 2 for the x.

y = 6 (2) - 11

y = 12 - 11

y = 1

So, the answer is x = 2 and y = 1, or the ordered pair (2, 1)