The answer is: 42. use order of operations
Well, we know that it costs $60 plus 5 per month for Alpha Fitness Club.
We also know that it costs $20 plus 10 per month for Omega Fitness Club.
In order to find out which one would cost the most, we must add the additional costs to the original join cost.
(NEVER add the join cost, just do the join cost at the beginning or else the clubs will never become the same cost.)
Club M1 M2 M3 M4 M5 M6 M7 M8 M9
Alpha: 60 65 70 75 80 85 90 95 100
Omega:20 30 40 50 60 70 80 90 100
If you look above, you realize that there is a time when they both cost the same.
Summary sentence:
After 9 months, the cost to belong to either fitness club would be $100.
The solutions to the given system of equations is (0, -6) and (1, -5)
<h3>Simultaneous equations</h3>
From the question, we are to determine the solutions to the given system of equations
The equations are
x − y = 6 --------- (1)
y = x² −6 ---------- (2)
From equation (1)
x - y = 6
∴ x = 6 + y ------- (3)
Substitute into equation (2)
y = x² −6
y = (6+y)² −6
y = (6+y)(6+y) -6
y = 36 + 6y + 6y +y² -6
y = 36 + 12y + y² - 6
Simplifying
y² + 12y - y + 30 = 0
y² + 11y + 30 = 0
Solve quadratically
y² + 11y + 30 = 0
y² + 6y + 5y + 30 = 0
y(y +6) +5 (y +6) = 0
(y + 5)(y + 6) = 0
y + 5 = 0 OR y + 6 = 0
y = -5 OR y = -6
Substitute the values of y into equation (3)
x = 6 + y
When y = -5
x = 6 + (-5)
x = 6 -5
x = 1
When y = -6
x = 6 + (-6)
x = 6 -6
x = 0
∴ When x = 0, y = -6 and when x = 1, y = -5
Hence, the solutions to the given system of equations is (0, -6) and (1, -5)
Learn more on Solving simultaneous equations here: brainly.com/question/16863577
#SPJ!
Let
x-------> the amount of 
solution
y--------> the amount of 
solution
we know that
so
-------> equation A
-------> equation B
substitute equation A in equation B
find the value of y
therefore
The student need 
of solution and 
of solution
<u>the answer is</u>
A) The percent values were written incorrectly in the equation
B) The amount of 7% solution should be written as 1 – x, not x – 1.
Your equation would be 2x - 12 + 3x - 15 = 23
Combine like terms and solve for x
