Answer:


Step-by-step explanation:
Required
Find m and n
Considering the given angle, we have:

This gives:

Make m ths subject


So, we have:


Considering the given angle again, we have:

This gives:

Make n the subject


So, we have:


Since you need an isolated variable to use the substitution method, we need to re-arrange one of the equations. This will probably be easiest to do with the first one.
Add 5y to both sides of the first equation.
x=10+5y
Now, in the second equation, put in 10+5y in any spot that has an x.
2(10+5y)-10y=20
Distribute the 2 to both numbers in the parenthesis.
20+10y-10y=20
Combine like terms.
20=20
This means that the two equations are actually the same. You can see this if you multiply the whole first equation by 2
2(x-5y=10)
2x-10y=20, which is the same as the second equation. Therefore, the two equations are actually the same one.
Step-by-step explanation:



Equating,




Placing it,



Answer: 2. I used the plug-in method because this is an easy question.
Step-by-step explanation:
1st Step: 2*(2)+3=7
2nd Step: 4+3=7
3rd Step: 7=7=True
Hope this helps!
Answer:
4(30 +1)= 4(30) + 4(1)
Step-by-step explanation:
The property states a(b+c)= ab+ac.
30 and 1 equals 31, then you just plug the two numbers into the equation.