Two lines have given equations. At what point do they intersect? 2x-y=1 3x=y-6
Answers
y=2x-1 and y=3x+6,
y=2x-1 and 2x-1=3x+6,
y=2x-1 and 3x-2x=-1-6,
x=-7 and y=-14-1
x=-7 and y=-15
check:
for x=-7 and y=-15:
2x-y=1 is -14-(-15)=1 is 1=1 ok
3x=y-6 is -21=-15-6 is -21=-21 ok
answer:
lines intersect at (-7;-15)
Related Questions
The expression "an established fact" refers to ____
Anyone now the answer to this? i really need help
A 6 ounce bag of raisins costs $2.46.an 8 ounce bag of raisins costs $3.20.which is the better deal?
An equation is given.2x=262x=26 Which calculation would need to be done to solve the equation?Adivide both sides by 2626Bmultiply both sides by 2626Cdivide both sides by 22Dmultiply both sides by 2
Answers
Answer:
C) One!
Step-by-step explanation:
Let’s solve the first equation for y:
6y = 3x - 9 y = (3/6)x - (9/6) y = (1/2)x - (3/2)
Now, we substitute this expression for y into the second equation:
6x - 2y = 14 6x - 2((1/2)x - (3/2)) = 14 6x - x + 3 = 14 5x = 11 x = 11/5
Finally, we substitute this value of x back into either of the original equations to find y:
6y = 3(11/5) - 9 6y = 33/5 - 45/5 6y = -12/5 y = -2/5
Therefore, the solution to the system of equations is C) One.
I hope this helps :D
b. 3.15%
c. 10.5%
d. 31.5%
Answers
P=principal
I=interest
R=rate
T=time in years
Principal=5000
Interest=1575
R=?
T=3 years
I=PRT
1575=(5000)(R)(3)
1575=15000(R)
divide both sides by 15000
0.105=R
we need to covert to percent
x%=x/100
0.105/1 times 100/100=10.5/100=10.5%
answer is C
c. 4; no
b. -4; yes
d. 4; yes
Answers
Answer:
a. -4; no
Step-by-step explanation:
Suppose we have two vectors, a and b.
a = (1,2)
b = (2,3)
Their inner product is:
a.b = (1,2).(2,3) = 1*2 + 2*3 = 8
The vectors are perpendicular if their inner product is 0.
In this question:
a = (7,2)
b = (0,-2)
So
a.b = (7,2).(0,-2) = 7*0 + 2*(-2) = -4
-4 is different of 0, so they are not perpendicular.
So the corret answer is:
a. -4; no
Answers
Answer:
A
Step-by-step explanation:
This is a probability question.
We want to calculate the probability that a passenger prefers to sit in front of the plane and at a window seat.
The answer here is directly obtainable from the table. Let’s take a look at that point where we have the front and window merging. We can see that the figure here is 8
Thus, the probability that we want to calculate is this figure over the total = 8/36
= 2/9
Answers
Answer:
Step-by-step explanation:
Given: y = and passes through the point (6, 5).
Here we have to find the equation of the line that is parallel to the given line.
If the two lines are parallel, then their slopes must be the same.
From the given equation, the slope(m) =
So the slope of the parallel line also will be the same.
Now we have to find the y-intercept of the parallel line.
The general form of slope-intercept form y = mx + b, where "m" is the slope and "b" is the y-intercept.
We know m = and it is passes through the point (6, 5)
Here x = 6 and y = 5
Now plug in these values in the above slope-intercept and find the y-intercept.
5 =
5 = -2 + b
Adding 2 on both sides, we get
b = 5 + 2
b = 7
Now we got slope (m) = -1/3 and y-intercept(b) = 7
So the required equation is y =
The equation is
(y - 5) = -1/3 (x - 6)
y = -1/3 x -1/3 (- 6) + 5 = -1/3 x + 2 + 5 = -1/3 + 7
The equation is: y = - 1/3 x + 7
y = -1/3 x
Answers
Answer:
I think 198 the correct
Answer:
198
Step-by-step explanation: