Answer: the rate of the canoeist in calm water is 6 mph and the rate of the current is 4 mph
Step-by-step explanation:
Let x represent the rate of the canoeist in calm water.
Let y represent the rate of the current.
The canoeist travels 30 miles downstream in three hours.. Assuming that he travelled in the direction of the current, his total speed would be x + y mph
Distance = speed × time
Distance covered downstream is
30 = 3(x + y)
10 = x + y - - - - - - - - - - - -1
Against the current the return trip took fifteen hours..
His total speed would be x - y mph
Distance = speed × time
Distance covered on return trip is
30 = 15(x - y)
2 = x - y - - - - - - - - - - - -2
Adding equation 1 and equation 2, it becomes
12 = 2x
x = 12/2 = 6 mph
Substituting x = 6 into equation 1, it becomes
10 = 6 + y
y = 10 - 6 = 4 mph
Answer:
a
Step-by-step explanation:
bc i know
Answer:
A= -3x-21 is the simplified equation
Answer:
Step 1: Add 3y to both sides.
2x−3y+3y=−8+3y
2x=3y−8
Step 2: Divide both sides by 2.
2x
2
=
3y−8
2
x=
3
2
y−4
Answer:
x=
3/2 y -4
x+3y=14
x+3y=14
Step 1: Add -3y to both sides.
x+3y+−3y=14+−3y
x=−3y+14
Answer:
x=−3y+14
Step-by-step explanation:
x + 2 y = 0 is the equation that has the value (1.8, -0.9).
<u>Step-by-step explanation:</u>
The solution is (1.8,-0.9) and the given equations are
x-2y= 4....... 1
4x+5y= 8.....2
6x-5y=15.....3
x+2y=0........4
Substitute the solution in all the equations and equate the resulting values.
∴ Substitute (1.8, -0.9) in equation 1.
1.8-2(-0.9) = 4.
1.8 + 1.8 = 4.
3.6 ≠ 4.
Substitute (1.8, -0.9) in equation 2.
4(1.8)+5(-0.9)=8
7.2-4.5=8.
2.7≠8.
Substitute (1.8, -0.9) in equation 3.
6(1.8)-5(-0.9)=15.
10.8 + 4.5=15
15.3≠15.
Substitute (1.8, -0.9) in equation 4.
1.8+2(-0.9)=0.
1.8-1.8=0.
0=0.
∴x + 2 y = 0 is the equation that has the value (1.8, -0.9).
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