Question

What is y=-2x-6 and y=x+9

Answer 1

x= -5 , y= 4.

Step-by-step explanation:

Given: y = x+9y and y = -2x-6 .

To find: variable x and y.

Solution: we have given that

y=x+9 -----Equation (1)

y = -2x-6 ------Equation(2)

Equating both equation

x +9 = -2x -6

On adding 2x both sides

x + 2x + 9 = -6

3x + 9 = -6

On subtracting both sides by 9

3x + 9 -9 = -6 -9

3x = - 15

On dividing both sides by 3

x = -5

Now, on substituting x =-5 in equation 1

y = -5 + 9

y= 4

( -5, 4)

Therefore, x= -5 , y= 4.

Answer 2

The correct answer is x= -5, y=4.

Step-by-step explanation:
Since y is isolated in both of these equations, we will set them equal to one another to solve:
-2x-6=x+9.

Add 2x to both sides:
-2x-6+2x=x+9+2x
-6=3x+9.

Subtract 9 from both sides:
-6-9=3x+9-9
-15=3x.

Divide both sides by 3:
-15/3 = 3x/3
-5=x.

Substitute this into the second equation; y= -5+9 = 4.