Question

PLEASE HELP ME ASAP!

Answer 1

(For this, I'll be using the substitution method.)

So firstly, subtract 9 on each side of the first equation. Your equation will look like this:
`2y-9=-x`

Next, flip the signs around in the first equation. Your equation will look like this:
`-2y+9=x`

Next, substitute x in the second equation for (-2y+9). From there you can solve for y.
`3(-2y+9)-6y=15`

Firstly, foil 3(-2y+9).
`-6y+27-6y=15`

Next, combine like terms:
`-12y+27=15`

Subtract 27 on each side:
`-12y=-12`

Lastly, divide -12 on each side, and your answer should be
`y=1`

To solve for x, just substitute y for 1 in either equation. For this Ill be doing the first equation.

`2(1)=-x+9`

Multiply 2 and 1
`2=-x+9`

Subtract 9 on each side
`-7=-x`

Lastly, flip the signs, and your answer should be
`7=x`

In short, the answer is (7,1).

Answer 2

Ok so first we find the equation that equals one variable.

2y = -x + 9

3x - 6y = -15

We solve for y.

2y = -x + 9

y = -x/2 + 9/2

Then we plug in this y value into the other equation to keep only one variable so we can solve for it.

3x - 6y = -15

3(-x + 9/2) - 6y = -15

-3x + 27/2 - 6y = -15

-9y + 27/2 = -15

-9y = 3/2

-y = 3/18

y = -3/18

Then we plug in this numerical y-value into the first equation which we found out by solving an equation for y.

y = -x/2 + 9/2

-3/18 = -x/2 + 9/2

-84/18 = -x/2

-x = 9 1/3

x = -28/3

Your answer would be (-28/3, -3/18)

Hope this helps!