Hello from MrBillDoesMath!
Answer:
x = 2
Discussion:
From the attached graph the intersection point appears to be x = 2. Let's prove that.
2x - 1 = -x + 5 => (add "x" to each side)
2x + x -1 = -x + x + 5 =>
3x -1 = 5 => (add "1" to both sides)
3x -1 + 1 = 5 + 1 =>
3x = 6 =>
x = 6/3 = 2
Thank you,
MrB
3(–4n – 9) = 21
Apply the distributive property.
-12n - 27 = 21
Apply the addition property of equality (add 27).
-12n = 48
Apply the division prop.of equality (divide by -12)
n = -4
Final answer!
Answer:
Given the expression that represents the sum of harry and mike's total monthly wages:
8x+12y
where
x represents the number of hours Harry worked
y represents the number of hours Mike worked.
The Distributive property says that:


Apply the distributive property:


The another way of writing the given expression as: 
And we conclude that the rewriting expression
represents the sum of harry and mike's total weekly wages.
All four sides of the original square have length s.
Adding 3 to s results in s+3, the length of the resulting rectangle.
Subtracting 3 from s results in s-3, the width of the rectangle.
The area of the rectangle is (s+3)(s-3) = s^2 - 9 = 27,
and therefore s^2 = 36, and s = 6 square units.