Answer:
Your solution is (-10, 6).
Step-by-step explanation:
Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.
-5x + y = 56
x + y = -4
Let's change the second equation into one with one variable on each side.
y = -x - 4
Now, plug this into your first equation.
-5x + (-x - 4) = 56
Distribute the + sign.
-5x - x - 4 = 56
Combine the like terms.
-6x - 4 = 56
-6x = 60
Isolate x by dividing both sides by -6.
x = -10
Now plug this back into either equation.
-10 + y = -4
Add 10 to both sides to find y.
y = 6
Your solution is (-10, 6).
Check this by plugging in these values into the equation you have not checked yet.
-5(-10) + (6) = 56
50 + 6 = 56
56 = 56
Your solution is correct.
Hope this helps!
Answer:65ft
Step-by-step explanation:area of a square is =s^2
Therefore 4225=s^2
Find the square root of both sides
√4225=√s^2
Therefore s=65
Each side is 65ft
A beam of light (travelling at the speed of light) would take 65 years to go and 65 years to come back from aldebaran, i.e. 130 years. You can send and receive a radio message (travelling at the speed of light, being electromagnetic radiation) taking so 130 years.
You'll find it easier to understand if you illustrate the problem as what is shown in the attached picture. From the illustration and the problem description, two equations can be formulated:
HJ = 2JK
HJ + JK = HK
2JK + JK = 78
3JK = 78
JK = 78/3
JK = 26