You can set up two equations from the information given. I will set them up for you:
32 = 4x + 2y
36 = 5x + 2y
Let's solve the first equation to come up with a value for y.
32 = 4x + 2y
32 - 4x = 2y
16 - 2x = y
Now we plug y into the other equation.
36 = 5x + 2(16-2x)
36 = 5x + 32 - 4x
4 = x
Now we have our real x value and we can plug it into the first equation.
32 = 4(4) + 2y
32 = 16 + 2y
16 = 2y
8 = y
Since x = 4 and y = 8, you get the final coordinates of (4,8).
Your answer is the second statement provided above.
Answer:
x=6
y=4
Step-by-step explanation:
plz mark brainliest
Answer:
2 km/h
Step-by-step explanation:
Let
Rate of river current = x km/h
Speed of Peter's boat = 4x km/h
He takes 15 km trip up (opposite direction)
His speed upstream = 4x - x
= 3x
His speed is 3x and distance is 15 km
Time = Distance / Speed
15/3x
= 5/x
And
Moving downstream (same direction)
Speed will be 4x + x = 5x
Distance = 15km,
speed = 5x
Time = Distance / Speed
= 15/5x
= 3/x
Total time take for trip = 4 hours
Total time take for trip = upstream + downstream
4 =5/x + 3/x
4 = 8/x
Cross product
4 * x = 8
x = 8/4
x = 2
Rate of river current = x km/h
= 2 km/h
Answer:
Step-by-step explanation:
Hello,
Pls post the full question next time so that we can make sure what is expected.
I assume that you want to solve for (x,y)
(1) 2x + 3y = 7
(2) 3x + 2y = 8
2*(2)-3*(1) gives
2*3x + 2*2y - 3*2x - 3*3y = 2*8 - 3*7 = 16 - 21 = -5
6x - 6x + 4y -9y = -5
-5y=-5
y = 1
and we can replace in (1)
2x + 3*1 = 7
2x = 7 - 3 = 4
x = 2
hope this helps
Answer: they will meet after 3 hours.
Step-by-step explanation:
Let t represent the number of hours it will take them to meet.
A walker and a cyclist are 45 miles apart. If they move towards each other, in t hours, they would have covered a total of 45 miles
Distance = speed × time
They move towards each other with speeds of 5 mph and 10 mph respectively. It means that the distance covered by the walker in t hours is 5 × t = 5t
Also, the distance covered by the cyclist in t hours is 10 × t = 10t
Since the total distance covered us 45 miles, then
5t + 10t = 45
15t = 45
t = 45/15
t = 3 hours
