y=x+6 and y=-2x-3?

Question

using substitution..anyone know how to solve this?

Answer 1

y = x + 6 >>>Equation 1
y = -2x - 3 >>>Equation 2

Substitute y = x + 6 into equation 2
x + 6 = -2x - 3
x + 2x = -3 - 6
3x = -9
x = -9 / 3
x = -3

Substitute x = -3 into equation 1
y = x + 6
y = -3 + 6
y = 3

Thus x = -3 and y = 3

Answer 2

Sure Ryan, look at what you have here:
All you need to see is that
y=x+6 AND
y = -2x+3
What does that tell you???
If I am A and I am B then A must be the same as B right? cause both are ME.
So?
x+6 = -2x+3 ==> 3x = -3 ==> x=-1;
and y?
pick any... y=x+6 = 5.

SIMPLE

Answer 3

Watch it! what everyone already told you about doing "x+6 = -2x-3" IS NOT substitution!
Substitution is just about that. Look:
y=x+6
y=-2x-3
Pick any and clear "x". I'll take the first one:
y=x+6 >> y-6=x >> x=y-6

Now, substitute x in the other equation:

y = -2. (y-6) - 3
y = -2y + 12 - 3
y + 2y = 12-3
3y = 9
y = 9 : 3
y = 3

Now that you have "y" you can clear "x" in both situations.

YR

Answer 4

y has two definitions, namely:
y = x + 6 and
y= - 2x - 3

Equate the two definitions and find x:
x + 6 = - 2x - 3
3x = - 9
x = - 3

Compute for y by plugging - 3 for x:
y = - 3 + 6
y = 3

Answer: x = - 3 and y = 3

Prove the equality of sides of your 2 original definitions:
3 = - 3 + 6
3 = 3

3 = - 2(- 3) - 3
3 = 6 - 3
3 = 3

Answer 5

1. y=x+6 y=-2x-3 (both Ys are the same Y right?)
2. y=y therefore x+6=-2x-3 (you replace what y is with what else y is)
3. x+2x+6=-3
4. x+2x=-6-3
5. 3x=-9
6. x=-3

Answer 6

x+6 = -2x-3

add 3 to both sides

x+9 = -2x

subtract x from both sides

9 = -3x

divide both sides by -3

3=x

y=3+6 and y=(-2)3-3

y=9 and y=-9

Answer 7

y = x + 6 --- (1)
y = -2x - 3 --- (2)
Substitute (1) into (2),
y = -2x - 3
x + 6 = -2x - 3
x + 2x = -3 - 6
3x = -9
x = -9 / 3
x = -3 --- (3)
Substitute (3) into (1),
y = x + 6
y = -3 + 6
y = 3
So, x = -3 and y = 3

Answer 8

in eq 1 y = x + 6
substitute y in eq 2

x + 6 = -2x - 3
3x = -9
x = -3
y = -3 + 6 = 3

Answer 9

solve for one variable and plug it into the other equation...

y=x+6 , y=-2x-3

so....
x+6 = -2x-3

solve for x, then find y

Answer 10

x+6=-2x-3
x+9=-2x
9=-3x
divide each side by -3
x=3