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