Answer:
x = -5 and x+1( consecutive integer) = -4
obviously x is smaller than the next integer
Step-by-step explanation:
Let the first integer be x
hence the consecutive integer is x +1
according to the give condition
x + 6(x + 1) = -29
x + 6x + 6 = -29
7x = -29 -6
7 x = -35
x = -35/7
x = -5
x + 1 = -5 + 1 = -4
GOOD LUCK FOR THE FUTURE! : )
Answer:
Step-by-step explanation:
1- Identify the x and the y
x1= -2
x2=2
y1= 2
y2= -1
2-
2- solve the equation:
d=
(2-(-2))
+ ((-1)-2)
d= 
(4) + (-3)
= 16 + 9
= 25
d=5 answer
Answer:
The solution to the system of equations is y = -5 and x = -2.
Step-by-step explanation:
The question tells us to use substitution to solve the system. This means that the given value for x (in terms of y) should be substituted into the other equation. This is modeled below:
-4y - 5x = 30
-4y - 5(y+3) = 30
Next, we should use the distributive property to simplify the left side of the equation.
-4y -5y - 15 = 30
The next step is to combine like terms on the left side of the equation.
-9y - 15 = 30
Then, we can add 15 to both sides of the equation.
-9y = 45
Finally, we can divide both sides of the equation by -9.
y = -5
To find the value for x, we substitute in the value we just found for y into either of our original equations.
x = y + 3
x = -5 + 3
x = -2
Therefore, the correct answer is y = -5 and x = -2.
Hope this helps!
-3/4x + 5/6 y = 15
Multiply through by 6
-9/2x + 5y = 90
Add 9/2x to both sides
5y = 90 + 9/2x
Divide both sides by 5
y = 18 + 9/10x
y = 9/10x + 18
Comparing with the general equation of a straight line y = mx + c
Gradient (m) = 9/10 or 0.9
and the y - intercept (c) = 18
