Since he has to give 50, and 12.25*p is the amount of money he has to spend (since it's 12.25 per pizza), we have 50-12.25=change
The solution of the system of equations that is given is (2,-1).
Given a system of equations are 5x+y=9 and 3x+2y=4.
A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.
The given equations are
5x+y=9 ......(1)
3x+2y=4 ......(2)
Here, the substitution method is used to solve the system of equations.
Find the value of y from equation (1) by subtracting 5x from both sides.
5x+y-5x=9-5x
y=9-5x
To find the value of x substitute the value of y in equation (2).
3x+2(9-5x)=4
Apply the distributive property a(b+c)=ab+ac as
3x+2×9-2×5x=4
3x+18-10x=4
Combine the like terms on the left side as
-7x+18=4
Subtract 18 from both sides and get
-7x+18-18=4-18
-7x=-14
Divide both sides by -7 and get
(-7x)÷(-7)=(-14)÷(-7)
x=2
Substitute the value of x in equation (1) and get
5(2)+y=9
10+y=9
Subtract 10 from both sides
10+y-10=9-10
y=-1
Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).
Learn more about system of equations from here brainly.com/question/13729904
#SPJ4
Answer:
6
Step-by-step explanation:
xy=k
Value of k ; when ; x = - 3 and y = - 2
Put x = - 3 and y = - 2 into the equation :
(-3)(-2) = k
-3 * - 2 = k
6 = k
The constant of variation k = 6
Round all dollar values to the nearest cent, and consider the trade-in to be a reduction in the amount paid
b.
$38,821
Answer:
Step-by-step explanation:
-9x^3(x^2 - 4x - 21) =
-9x(x - 7)(x + 3) <===
