Answer:
x = 11
y = 2
n = 4
Step-by-step explanation:
Three equations
Look for x
Look for y
Look for n
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Note that all of these are questions can be answered through isolating the variable.
Let's start with x :
Get x alone :
2(x + 5) = 3x + 1
Distribute :
(2(x) + 2(5))
2x + 10 = 3x - 1
Add 1 to both sides of the equation :
2x + 11 = 3x
Subtract 2x from both sides :
11 = x
x = 11
Next is y :
Isolate y :
3y - 4 = 6 - 2y
Add 4 to both sides :
3y = 10 - 2y
Add 2y to both sides :
5y = 10
Divide 5 from both sides to get y by itself :
y = 2
Lastly is n :
Isolate n :
3(n + 2) = 9(6 - n)
Distribute :
(3(n) + 3(2)) = (9(6) - 9(n))
3n + 6 = 54 - 9n
Subtract 54 from both sides :
3n - 48 = -9n
Subtract 3n from both sides :
-48 = -12n
-12n = -48
Divide -12 from both sides :
n = 4
