Answer:
(6x5 -6) +56
(30-6) +56
24+56
80
Step-by-step explanation:
You can start by multiplying the first equation by twelve, by doing this you get whole numbers. This yields:
4x + 3y =12
2x - 3y = -30
As you can see, you have two terms that only differ in sign.
By adding both equations together you get this:
6x=-18 or x=-3
The reason why you can add these equations together is illustrated in the next example:
4=x
5=y
4+5=x+y
Simple no?
Now that you now x you can substitute the value in one of the equations and you get the y value:
4*-3 + 3y =12
-12 + 3y =12
3y= 24
y=8
Answer:
5 miles.
Step-by-step explanation:
We would be using the Pythagoras Theorem to solve for this.
I have attached a diagram to better help you to better understand my explanation this.
The shortest distance from her playground to her house = Hypotenuse
Pythagoras Theorem for a triangle =
c² = a² + b²
Where c = Hypotenuse
a = 3 miles due west
b = 4 miles north
c² = 3² + 4²
c² = 9 + 16
c² = 25
c = √25
c = 5 miles
Therefore, the shortest distance to Alicia's home from the playground is 5 miles.