Choose the correct answer for the following exercise:
We have hundreds of course questions with personalized recommendations + Account 100% premium
Choose the correct answer for the following exercise:
To solve the system of equations, follow the steps below:
Consider these equations:
Since both are simplified to the form , they describe two parallel lines, given that they have the same coefficients of and but different constants (15 and 6).
Parallel lines never intersect. Thus, there is no solution for this system of equations, as they represent two distinct parallel lines.
Therefore, the correct answer is: No solution.
No solution
Solve the following equations:
\( \begin{cases}
2x+y=9 \\
x=5
\end{cases}
\)
You need to identify the type of system first! When simplified equations have the same coefficients but different constants, they represent parallel lines that never meet.
After simplifying, if both equations have the form with identical coefficients but different constants, they're parallel lines with no solution.
No solution: Same coefficients, different constants (parallel lines)
Infinite solutions: Identical equations after simplification (same line)
Always double-check your simplification! Divide by 2 to get . Compare with - clearly different!
Both equations represent parallel lines with the same slope but different y-intercepts. Parallel lines never intersect, so there's no point that satisfies both equations.
Get unlimited access to all 18 System of linear equations questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime