Using linear function concepts, a system of equations with no solutions is created when:
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The intersection of two lines is the solution of a system of equations. If two lines have the <u>same slope and different intercepts</u>, they will never intercept, that is, the system will not have a solution.
The lines are given as follows:
Hence, for a system with no solution, we need that:
More can be learned about linear function concepts at brainly.com/question/24808124
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Answer:
Write a time equation, time = dist/speed
:
go time + return time = total time
d%2F16 + d%2F15 = 7.75 hrs
multiply equation by the least common multiple 240, cncel the denominators:
15d + 16d = 240(7.75)
31d = 1860
d = 1860/31
d = 60 km one way
total dist = 120 km
:
Check this, find the actual time each way
60/16 = 3.75 hrs
60/15 = 4 hrs
-----------------
total time 7.75 hrs
Step-by-step explanation:
<u>Answer</u>:
Jared is right.
<u>Explanation</u>:
proof 1:
10 - 4 = 6
6 = 6
second proof:
10-3 - 4 = 6 - 3
10 - 7 = 3
3 = 3
third proof:
10 - 4 - 3 = 6 - 3
10 - 7 = 3
3 = 3
Hence for all LHS = RHS proved and Jared is correct.
Answer is c 10 eliminate the decimal l
Answer:
12
step by step equation:
Lindsay owns 12 books.
Step-by-step explanation:
We can solve this question using a system of equations.
I am going to say that:
x is the number of books that Lindsay owns.
y is the nuber of books that Destiny owns.
z is the number of books that Henry owns.
Lindsay owns one-third the number of books that Destiny owns.
This means that:
, or
Henry owns a fourth as many books as Destiny.
This means that , or . Also, in function of x, we may have
Together they own 57 books.
This means that
We want to find x. So
Lindsay owns 12 books.
