Answer:
-4 and 10
Step-by-step explanation:
It is 7 units from 3 not 3 the number itself
The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
The given equation is
12x + 2y = 6
we would make this equation to look like the slope intercept equation.
12x + 2y = 6
If we subtract 12x from both sides of the equation, it becomes
12x - 12x + 2y = 6 - 12x
2y = 6 - 12x
2y = - 12x + 6
Dividing both sides of the equation by 2, it becomes
y = - 6x + 3
Thus, by comparing with the slope intercept equation,
slope = - 6
y intercept = 3
Answer:
x + y = - 3.6
2x - z = 1
x + y + z = - 3.8
y - x = - 4.4
Step-by-step explanation:
We have to evaluate the given expressions of x, y, and z where, , y = - 4 and z = - 0.2.
So, x + y = 0.4 + (- 4) = - 3.6
And, 2x - z = 2(0.4) - (- 0.2) = 1
And, x + y + z = 0.4 - 4 - 0.2 = - 3.8
Finally, y - x = - 4 - 0.4 = - 4.4 (Answer)
Answer:
number of students in a van = 8
number of students in a minibus = 22
Step-by-step explanation:
Let
x = number of students in a van
y = number of students in a minibus
8x + 8y = 240 (1)
4x + y = 54 (2)
Multiply (2) by 8 to eliminate y
4x + y = 54 ×8
32x + 8y = 432 (3)
8x + 8y = 240 (1)
32x + 8y = 432 (3)
Subtract (1) from (3)
32x - 8x = 432 - 240
24x = 192
Divide both sides by 24
x = 192 / 24
= 8
x = 8 students
Substitute x = 8 into (2)
4x + y = 54
4(8) + y = 54
32 + y = 54
y = 54 - 32
= 22
y = 22 students
number of students in a van = 8
number of students in a minibus = 22