Answer:
(1, 7 )
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Then the equations of the 2 lines are
y = 4x + 3 → (1)
y = 6x + 1 → (2)
Substitute y = 6x + 1 into (1)
6x + 1 = 4x + 3 ( subtract 4x from both sides )
2x + 1 = 3 ( subtract 1 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting into (1)
y = 4(1) + 3 = 4 + 3 = 7
Point of intersection = (1, 7 )
Answer:
4/15
Step-by-step explanation:
3/5-1/3
9-5/15
=4/15
I ain't really sure
Answer:
x = -36, y = 6, z = -6
Step-by-step explanation:
The requirement x/z = -z means x = -z².
The requirement x/y = z means x = yz.
These two requirements together mean yz = -z², or y = -z.
The requirements that z/2 and z/3 are integers mean that z is a multiple of 2·3 = 6. The smallest magnitude non-zero multiple is z=-6 (since we also require z < -z).
Using z=-6, we have x = -z² = -36; y = -(-6) = 6.
For some positive integer n, ...
... x = -36n², y = 6n, z = -6n.
Answer:
Step-by-step explanation:
