Each equation in a system of linear equations has infinitely many ordered-pair solutions.Determine whether the statement makes sense or does not make sense, and explain your reasoning.

Kaycee Roche

Kaycee Roche

Answered question

2021-02-25

Each equation in a system of linear equations has infinitely many ordered-pair solutions.Determine whether the statement makes sense or does not make sense, and explain your reasoning.

Answer & Explanation

curwyrm

curwyrm

Skilled2021-02-26Added 87 answers

Step 1
Typically, a pair of two linear equations makes up a system of linear equations.
There can be one solution to a system of linear equations, an unlimited number of solutions, or no solutions at all.
There will only be one answer if the lines cross at a single place.
There will be an endless number of solutions if the lines meet.
If lines are parallel, a solution cannot be found.
If a system has the following linear equations:
a1x+b1y+c1=0
a2x+b2y+c2=0
If: the system will have a special solution.
a1a2b1b2
Step 2
No solution if:
a1a2=b1b2c1c2
Infinitely many solutions if:
a1a2=b1b2=c1c2
Therefore, each equation in a system of linear equations need not have an unlimited number of solutions.
As a result, the sentence that follows is absurd.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?