Answer: A system of linear equations consists of two or more linear equations made up of two or more variables, such that all equations in the system are considered simultaneously.
To find the unique solution to a system of linear equations, we must find a numerical value for each variable in the system that will satisfy all equations in the system at the same time.
In order for a linear system to have a unique solution, there must be at least as many equations as there are variables.
The solution to a system of linear equations in two variables is any ordered pair
(
x
,
y
)
that satisfies each equation independently. Graphically, solutions are points at which the lines intersect.
Key Terms
system of linear equations: A set of two or more equations made up of two or more variables that are considered simultaneously.
dependent system: A system of linear equations in which the two equations represent the
same line; there are an infinite number of solutions to a dependent system.
inconsistent system: A system of linear equations with no common solution because they
represent parallel lines, which have no point or line in common.
independent system: A system of linear equations with exactly one solution pair
(
x
,
y
)
.
Step-by-step explanation:
Answer: 2/ 3
Step-by-step explanation:
Answer:
The sum of the two remaining numbers, x and y = 60
Question:
The question isn't clear enough as some information have been omitted. Let's consider the following:
Model with Math. The average of six numbers is 18. If the average of four numbers is 12. What must be the sum of the two remaining numbers, x and y?
Write an equation to show how to find this sum.
Step-by-step explanation:
Mathematical models are applied to represent things in the real world in order to solve problems.
The formula we would use to solve this problem is an example of a mathematical model.
Types of mathematical model we can use include equations and graphs.
Using equations:
Average of six numbers = 18
Average of four of the numbers = 12
Total sum of the four numbers = 4×12 = 48
the two unknown numbers are x and y
Average of six numbers = (Sum of all 6 numbers)/6
=(Total sum of four numbers + x + y)/6
(48 + x + y)/6 = 18
The equation that shows how to find the sum:
(1/6)(48 + x + y) = 18
48 + x + y = 18×6
48 + x + y = 108
x + y = 108-48
x+y = 60
The sum of the two remaining numbers, x and y = 60
Answer:
764
Step-by-step explanation:
Subtract 921 with 157
Answer:
B. 3/2
Step-by-step explanation:
If f(x) and 
are inverse, that means that if we switch the x and y for f(x) and solve for y, we will get the inverse function.
Knowing that f(x) = 2x + 5, let's write this as y = 2x + 5 and switch the x and y:
x = 2y + 5
Now, solve for y:
x = 2y + 5
x - 5 = 2y
y = (x - 5)/2
That's the function: 
Plug in 8 for x:
The answer is thus B.
<em>~ an aesthetics lover</em>
