Answer: x = 4; x = 5
Step-by-step explanation:
The directions specify to solve by factoring
x^2 - 9x + 20 = 0
To factor, find two numbers that add to -9 and multiply to 20
-5 and -4 work
-5 + (-4) = -9
-5 * -4 = 20
(x - 4)(x - 5) = 0
x = 4, x =5
Answer:
difference between linear equations and inequalities is the solution set. A linear equation of two variables can have more than one solution. For instance, with x = 2_y_ + 3, (5, 1), then (3, 0) and (1, -1)
Step-by-step explanation:
Given:
Find-: Slope of the line.
Sol:
The slope of line is:
Where,
Choose any point:
So, the slope of the line is:
Slope of line is 3.
Answer:
The best answer is " The lines are the same " ⇒ A
Step-by-step explanation:
A system of two linear equations can have:
- One solution ⇒ 2 intersected lines at a point
- An infinite number of solutions ⇒ same line
- No solution ⇒ 2 parallel lines
If a system has at least one solution, it is called consistent
- If a consistent system has exactly one solution, then it is called independent. they are represented by two intersected lines at a point
- If a consistent system has an infinite number of solutions, then it is called dependent. They are represented by the same line
If a system has no solution, then it is called inconsistent. they represented by two parallel lines
Let us use these facts above to solve our question
∵ A system of two linear equations is consistent and dependent
∴ The system has an infinite number of solutions
∴ The system represented graphically by the same line
∴ The best answer is " The lines are the same "
