Answer:
(-1,-2)
Step-by-step explanation:
There is a solution where the two expressions intersect. We can plug in what we know in the first equation in the second.
x= -1
y=3x+1
y= 3(-1)+1
y= -3+1
y= -2
Plugging y value in the equation to find x:
-2=3x+1
-3=3x
x= -1
Therefore, the point is (-1,-2)
<em>I hope this helps! :)</em>
Answer:
Hamish and Harry work as plumbers. Harry earns a dollar an hour more than 5/4 the amount hamish earns per hour. harry earns per hour is 2$ less than 7/5 the amount hamish earns per hour. how much do each of them make an hour
Step-by-step explanation:
Let
x is the amount Harry earns
y is the amount Hamish earns
x=(5/4)y+1 ⇒ (x-1)*4/5 = y-------- equation 1
x=(7/5)y-2⇒ (x+2)*5/7 = y-------- equation 2
equals 1 and 2
(x-1)*4/5 = (x+2)*5/7
(4x-4)/5 = (5x+10)/7
(4x-4)*7 = (5x+10)*5
28x-28 = 25x+50
28x-25x = 50+28
3x = 78
x = 26
substitute x = 26 for y=(x-1)*4/5
y = (x-1)*4/5
y = (26-1)*4/5
y = 20
the answer is
<h3>Harry earns $26 an hour</h3><h3>Hamish earns $20 an hour</h3>
Given data:
The first set of equations are x+y=4, and x=6.
The second set of equations are 3x-y=12 and y=-6.
The point of intersection of first set of te equations is,
6+y=4
y=-2
The first point is (6, -2).
The point of intersection of second set of te equations is,
3x-(-6)=12
3x+6=12
3x=6
x=2
The second point is (2, -6).
The equation of the line passing through (6, -2) and (2, -6) is,

Thus, the required equation of the line is y=x-8.
2/18 + 1 2/8 =
1/9 + 10/8 =
1/9 + 5/4 =
4/36 + 45/36 =
49/36 =
1 13/36 <==
Answer:
3 hours
Step-by-step explanation:
speed of Bharat = 12kilometers / hour
speed of Ingrid=14 kilometers / hour
For this problem we'll be using formula relating time, distance and speed.i.e
Distance = speed x time
Suppose Bharat is riding at a distance of 'b' kilometers, therefore time taken by him will be:
Time = distance/ speed
Time= b/12 hours.
Also, Ingrid can ride the distance at this time with speed of 14km/hr
The distance would be,
Distance = speed x time
Distance = 14 x (b/12) => 14b/12
Distance= 7b/6
Let '
' be the distance that Bharat have covered after time 't'
therefore,
= 12 x t
Let '
' be the distance that Ingrid have covered after time 't'
therefore,
= 14 x t
In order to find the time when they are 78 kilometers apart, we will add
and
, because they are travelling in opposite direction creating distance between them.
So,
+
= 78
( 14 x t) + (12 x t) =78
14t + 12t =78
26t= 78
t= 78/26
t= 3hours.
thus, it will take 3 hours until they are 78 kilometers apart