To clarify the systems of equations:


We already have opposite coefficients for y, so combine the two equations together:

Divide both sides by 5 to get x by itself:

Because we now know x, we can plug it into one of the equations.
We will plug this value into the first equation:


Add 24 to both sides.

Divide both sides by -1 to get y by itself.

Using elimination,
x = 2 and y = -30.
Answer:
For the first picture, 57.14
For the second picture, 27.04
Answer:
rate of motorboat: b
rate of current: c
So the rate the boat travels upstream is $b - c$, and the rate it travels downstream is $b + c$
Step-by-step explanation:
d = rt
200 = (b - c)\cdot 5
200 = (b + c)\cdot 4
b - c = 40
b + c = 50
Adding these equations, we get:
2b = 90
b = 45
So
c = 50 - 45 = 5
<u>Therefore the rate of the boat is 45kph, and the rate of the current is 5kph</u>
Hope this helps :)
Answer:
$12,385.71
Step-by-step explanation:
2012-2004=8
8/0.07=114.29
12500-114.29=12385.71
She originally had $400 in her bank account.
The 50w represents the amount she will put away each week.