Answer:
21
Step-by-step explanation:
If you would like to know which inequality is equivalent to 8 * x - 6 * y < 10, you can calculate this using the following steps:
8 * x - 6 * y < 10 /2
4 * x - 3 * y < 5
or you can also put this into another form:
4 * x - 5 < 3 * y /3
y > 4/3 * x - 5/3
Your ultimate goal is to get the variable secluded all by itself. You'll have to use the opposite operation to do this and remember, what you do to one side, you have to do to the other.
1. 9s + 3 = 57
2. Subtract 3 from each side. This will result in 9s = 54
3. To undo the multiplication of 9s you'll divide both sides by 9. 9s/9 = 54/9
4. The ending result is: s=6
5. Go back and check your work by substituting it in your original equation.
Answer: 3y - x - 42 = 0
Step-by-step explanation:
The equation y + 1 = -3(x - 5)
Now expand the expression by opening the brackets
y + 1 = -3x + 15
Recall,
Equation of line , y = mx + c , where m = slope
rearranging the equation above in order to determine the ( m)
y = -3x -1 + 15
y = -3x + 14
Recall again condition for perpendicularity
m₁m₂ = -1
From the equation given, m₁ = -3, therefore , to get m₂
-3 x m₂ = -1
-3m₂ = -1
Therefore m₂ = -1/-3
m₂ = 1/3
Now , to find the equation of the second line parallel to the first one,
Just replaced the -3 in the equation above by m₂ = 1/3 in
y = -3x + 14
y = x/3 + 14
Now , multiply both the RHS and LHS of the equation by 3, to make it a linear.
3y = x + 3 x 14
3y = x + 42
3y - x - 42 =0
Opposite sides of angles are equal so
x+12=4x-48
12+48=4x-x
60=3x
x=60/3
x=20
