# Solve 49x + 9 equals 49x + 83. does an equation have one solution, no solution, or infinitely many solutions? write two

###### Question:

## Answers

Infinitely many solutions?

Step-by-step explanation:

They are parallel so there is no solution.

Step-by-step explanation:

Brayden- y=5x-1 or y-5x= -1

Howard- y=5x+1 or y-5x= 1

Vincent- y=4x+5 or y-4x= 5

In summary, they are all parallel so there is no solution.

If two pair is parallel then it has no solution.

Step-by-step explanation:

Since we have given that

Let the number of gained yards by each player be y

For the case of Brayden:

Equation will be

[tex]y=5x-1\\\\y-5x=-1[/tex]

For the case of Howard :

Equation will be

[tex]y=5x+1\\\\y-5x=1[/tex]

For the case of Vincent :

[tex]y=4x+5\\\\y-4x=5[/tex]

Since First two equations are parallel so it has no solution.

Reason:

[tex]y-5x=1\\\\y-5x=-1\\\\\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\\\\\frac{1}{1}=\frac{5}{5}\neq \frac{1}{-1}[/tex]

Hence, if two pair is parallel then it has no solution.

[tex]Brayden, howard, and vincent are on the football team. during a game, brayden gains 1 less than 5 ti[/tex]

4=4, in infinitely many solutions

Step-by-step explanation:

hope this helps

Written Below.

Step-by-step explanation:

A system of linear equations has one solution when the graphs intersect at a point. A system of linear equations has no solution when the graphs are parallel. A system of linear equations has infinite solutions when the graphs are the exact same line.

(This uses graphing.)

Sidenote: I hope this helps! :)

it has no solution. 0=74 means it cannot be solved. if it was 0=0 then it would be infinite solutions