Answer:
On occasions you will come across two or more unknown quantities, and two or more equations
relating them. These are called simultaneous equations and when asked to solve them you
must find values of the unknowns which satisfy all the given equations at the same time.
Step-by-step explanation:
1. The solution of a pair of simultaneous equations
The solution of the pair of simultaneous equations
3x + 2y = 36, and 5x + 4y = 64
is x = 8 and y = 6. This is easily verified by substituting these values into the left-hand sides
to obtain the values on the right. So x = 8, y = 6 satisfy the simultaneous equations.
2. Solving a pair of simultaneous equations
There are many ways of solving simultaneous equations. Perhaps the simplest way is elimination. This is a process which involves removing or eliminating one of the unknowns to leave a
single equation which involves the other unknown. The method is best illustrated by example.
Example
Solve the simultaneous equations 3x + 2y = 36 (1)
5x + 4y = 64 (2) .
Solution
Notice that if we multiply both sides of the first equation by 2 we obtain an equivalent equation
6x + 4y = 72 (3)
Now, if equation (2) is subtracted from equation (3) the terms involving y will be eliminated:
6x + 4y = 72 − (3)
5x + 4y = 64 (2)
x + 0y = 8
Answer:
960
Step-by-step explanation:
x = 0.6x + 384
Subtract 0.6x from both sides.
0.4x = 384
Divide both sides by 0.4
x = 960
It is most likely looking for a simplified version of the answer
Based off that assumption it would be
9:7
The percent of increase is 25 percent
Answer:
0.05x
This is equivalent to 5% of the total amount of sales.
Step-by-step explanation:
Previous Weekly pay function for Owen; f (x) = 0.15x +325-------------------- (1)
Current Weekly pay function for Owen; g(x) = 0.20x +325--------------------(2)
Change in Owen's Salary plan is equation (2) minus equation (1)
g(x) - f(x) = (0.20x+325)-(0.15x+325)
= 0.05x
The new change in Owen's salary is 5% of the total amount of sales
