Combine like terms on the left side.
-3y + 3y + 4 = 4
-3y and 3y add to 0, so you get
4 = 4
4 = 4 is a true statement, so there is an infinite number of solutions. Every real number is a solution of this equation.
Answer: Infinitely many
X + y = 33
x - y = 9 Add the 2 equations together
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2x = 42 Divide both sides by 2
x = 21
Use the original equation and plug 21 in for x, then solve.
x + y = 33
21 + y = 33
Subtract 21 from both sides
y = 12
One list had 21 items on it and the other list had 12 items on it.
Answer:
Use Pythagorean Theorem to find the distance between the two points
where r is the distance between the two points
Δx = 6-4 = 2
Δy = 3-(-1) = 4
2²+4²=r²
4+16=r²
20=r²
√20=r
r=4.47
r=4.5
4.5÷2=2.25 (halfway)
∴The distance between the cafeteria and the bathrooms is 2.25 units
Hopefully you understand how I got this answer.